GCF and LCM Calculator Logo

What is the Least Common Multiple of 55964 and 55983?

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 55964 and 55983 is 3133032612.

LCM(55964,55983) = 3133032612

LCM Calculator and
and

Least Common Multiple of 55964 and 55983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55964 and 55983, than apply into the LCM equation.

GCF(55964,55983) = 1
LCM(55964,55983) = ( 55964 × 55983) / 1
LCM(55964,55983) = 3133032612 / 1
LCM(55964,55983) = 3133032612

Least Common Multiple (LCM) of 55964 and 55983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55964 and 55983. First we will calculate the prime factors of 55964 and 55983.

Prime Factorization of 55964

Prime factors of 55964 are 2, 17, 823. Prime factorization of 55964 in exponential form is:

55964 = 22 × 171 × 8231

Prime Factorization of 55983

Prime factors of 55983 are 3, 18661. Prime factorization of 55983 in exponential form is:

55983 = 31 × 186611

Now multiplying the highest exponent prime factors to calculate the LCM of 55964 and 55983.

LCM(55964,55983) = 22 × 171 × 8231 × 31 × 186611
LCM(55964,55983) = 3133032612