common multiple: meaning, definition, pronunciation and examples
Low (Specialized Term)Formal / Technical
Quick answer
What does “common multiple” mean?
A whole number that is a multiple of two or more given numbers.
Audio
Pronunciation
Definition
Meaning and Definition
A whole number that is a multiple of two or more given numbers.
In a broader mathematical sense, the concept can extend to polynomials or other algebraic expressions where an expression is divisible by two or more given expressions.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. The notation and teaching methods for finding common multiples may vary slightly by curriculum.
Connotations
Neutral and purely technical in both varieties.
Frequency
Equally low and specialized in both BrE and AmE, used almost exclusively in mathematical contexts.
Grammar
How to Use “common multiple” in a Sentence
common multiple of [numbers]a common multiple for [numbers]Vocabulary
Collocations
Usage
Meaning in Context
Business
Not used.
Academic
Used in mathematics education and number theory.
Everyday
Rare, only in contexts like helping with homework.
Technical
Core term in arithmetic and elementary number theory.
Vocabulary
Synonyms of “common multiple”
Neutral
Weak
Vocabulary
Antonyms of “common multiple”
Watch out
Common Mistakes When Using “common multiple”
- Confusing 'common multiple' with 'common factor'. A common multiple is LARGER than or equal to the original numbers, while a common factor is SMALLER.
- Using 'common' in its everyday sense (e.g., 'common problem') instead of its mathematical sense of 'shared'.
FAQ
Frequently Asked Questions
A common multiple is any shared multiple of the given numbers. The LCM is the smallest positive common multiple.
No. A multiple of a number is always equal to or larger than that number. Therefore, a common multiple of two or more numbers is at least as large as the largest of those numbers.
Yes, technically zero is a multiple of every integer (0 = n * 0). However, in most practical contexts (like finding the LCM), we consider only positive common multiples.
Multiply the two numbers together. The product will always be a common multiple, though it may not be the smallest one.
A whole number that is a multiple of two or more given numbers.
Common multiple is usually formal / technical in register.
Common multiple: in British English it is pronounced /ˌkɒm.ən ˈmʌl.tɪ.pl̩/, and in American English it is pronounced /ˌkɑː.mən ˈmʌl.tə.pl̩/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
COMMON = shared by all, MULTIPLE = a product of a number. So, a COMMON MULTIPLE is a number that is a product shared by several 'parent' numbers.
Conceptual Metaphor
A shared meeting point on different number timelines.
Practice
Quiz
What is a common multiple of 5 and 7?