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What is the Least Common Multiple of 55967 and 55980?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55967 and 55980 is 3133032660.

LCM(55967,55980) = 3133032660

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Least Common Multiple of 55967 and 55980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55967 and 55980, than apply into the LCM equation.

GCF(55967,55980) = 1
LCM(55967,55980) = ( 55967 × 55980) / 1
LCM(55967,55980) = 3133032660 / 1
LCM(55967,55980) = 3133032660

Least Common Multiple (LCM) of 55967 and 55980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55967 and 55980. First we will calculate the prime factors of 55967 and 55980.

Prime Factorization of 55967

Prime factors of 55967 are 55967. Prime factorization of 55967 in exponential form is:

55967 = 559671

Prime Factorization of 55980

Prime factors of 55980 are 2, 3, 5, 311. Prime factorization of 55980 in exponential form is:

55980 = 22 × 32 × 51 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 55967 and 55980.

LCM(55967,55980) = 559671 × 22 × 32 × 51 × 3111
LCM(55967,55980) = 3133032660