GCF and LCM Calculator Logo

What is the Least Common Multiple of 64510 and 64528?

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 64510 and 64528 is 2081350640.

LCM(64510,64528) = 2081350640

LCM Calculator and
and

Least Common Multiple of 64510 and 64528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64510 and 64528, than apply into the LCM equation.

GCF(64510,64528) = 2
LCM(64510,64528) = ( 64510 × 64528) / 2
LCM(64510,64528) = 4162701280 / 2
LCM(64510,64528) = 2081350640

Least Common Multiple (LCM) of 64510 and 64528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64510 and 64528. First we will calculate the prime factors of 64510 and 64528.

Prime Factorization of 64510

Prime factors of 64510 are 2, 5, 6451. Prime factorization of 64510 in exponential form is:

64510 = 21 × 51 × 64511

Prime Factorization of 64528

Prime factors of 64528 are 2, 37, 109. Prime factorization of 64528 in exponential form is:

64528 = 24 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 64510 and 64528.

LCM(64510,64528) = 24 × 51 × 64511 × 371 × 1091
LCM(64510,64528) = 2081350640