GCF and LCM Calculator Logo

What is the Least Common Multiple of 64988 and 64996?

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 64988 and 64996 is 1055990012.

LCM(64988,64996) = 1055990012

LCM Calculator and
and

Least Common Multiple of 64988 and 64996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64988 and 64996, than apply into the LCM equation.

GCF(64988,64996) = 4
LCM(64988,64996) = ( 64988 × 64996) / 4
LCM(64988,64996) = 4223960048 / 4
LCM(64988,64996) = 1055990012

Least Common Multiple (LCM) of 64988 and 64996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64988 and 64996. First we will calculate the prime factors of 64988 and 64996.

Prime Factorization of 64988

Prime factors of 64988 are 2, 7, 11, 211. Prime factorization of 64988 in exponential form is:

64988 = 22 × 71 × 111 × 2111

Prime Factorization of 64996

Prime factors of 64996 are 2, 16249. Prime factorization of 64996 in exponential form is:

64996 = 22 × 162491

Now multiplying the highest exponent prime factors to calculate the LCM of 64988 and 64996.

LCM(64988,64996) = 22 × 71 × 111 × 2111 × 162491
LCM(64988,64996) = 1055990012