lowest common multiple

Smallest mutual multiple

The lowest common multiple of two or more numbers is the smallest number that is evenly divisible by all of them.

For example, the lowest common multiple of 4 and 6 is 12, since 12 is the smallest number both 4 and 6 divide into without a remainder.

Often abbreviated LCM, the concept is fundamental in arithmetic operations involving fractions, particularly when finding common denominators.

Find the lowest common multiple of 8 and 12.

calculation

prime factorization

Unique prime product representation

algorithm · division · product · remainder · quotient · simplify · reduce · solve · compute · formula

fractions

denominator

Fraction's bottom number

subtraction · simplify · reduce · rational numbers · proportion · ratio · convert · compare · mixed numbers · improper fractions

numbertheory

integer

Number lacking fractions

factorization · congruence · lattice

Opposites
mathematical operation direction

lowest common multiplegreatest common divisor

Largest shared factor

greatest common factor

Family

lowness, lowermost, common, commonly, commons, commonness, commoner, commonality, uncommon

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