GCF and LCM Calculator Logo

What is the Least Common Multiple of 64102 and 64107?

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 64102 and 64107 is 4109386914.

LCM(64102,64107) = 4109386914

LCM Calculator and
and

Least Common Multiple of 64102 and 64107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64102 and 64107, than apply into the LCM equation.

GCF(64102,64107) = 1
LCM(64102,64107) = ( 64102 × 64107) / 1
LCM(64102,64107) = 4109386914 / 1
LCM(64102,64107) = 4109386914

Least Common Multiple (LCM) of 64102 and 64107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64102 and 64107. First we will calculate the prime factors of 64102 and 64107.

Prime Factorization of 64102

Prime factors of 64102 are 2, 32051. Prime factorization of 64102 in exponential form is:

64102 = 21 × 320511

Prime Factorization of 64107

Prime factors of 64107 are 3, 17, 419. Prime factorization of 64107 in exponential form is:

64107 = 32 × 171 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 64102 and 64107.

LCM(64102,64107) = 21 × 320511 × 32 × 171 × 4191
LCM(64102,64107) = 4109386914