GCF and LCM Calculator Logo

What is the Least Common Multiple of 64100 and 64116?

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 64100 and 64116 is 1027458900.

LCM(64100,64116) = 1027458900

LCM Calculator and
and

Least Common Multiple of 64100 and 64116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64100 and 64116, than apply into the LCM equation.

GCF(64100,64116) = 4
LCM(64100,64116) = ( 64100 × 64116) / 4
LCM(64100,64116) = 4109835600 / 4
LCM(64100,64116) = 1027458900

Least Common Multiple (LCM) of 64100 and 64116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64100 and 64116. First we will calculate the prime factors of 64100 and 64116.

Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 22 × 52 × 6411

Prime Factorization of 64116

Prime factors of 64116 are 2, 3, 13, 137. Prime factorization of 64116 in exponential form is:

64116 = 22 × 32 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 64100 and 64116.

LCM(64100,64116) = 22 × 52 × 6411 × 32 × 131 × 1371
LCM(64100,64116) = 1027458900