GCF and LCM Calculator Logo

What is the Least Common Multiple of 64112 and 64120?

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 64112 and 64120 is 513857680.

LCM(64112,64120) = 513857680

LCM Calculator and
and

Least Common Multiple of 64112 and 64120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64112 and 64120, than apply into the LCM equation.

GCF(64112,64120) = 8
LCM(64112,64120) = ( 64112 × 64120) / 8
LCM(64112,64120) = 4110861440 / 8
LCM(64112,64120) = 513857680

Least Common Multiple (LCM) of 64112 and 64120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64112 and 64120. First we will calculate the prime factors of 64112 and 64120.

Prime Factorization of 64112

Prime factors of 64112 are 2, 4007. Prime factorization of 64112 in exponential form is:

64112 = 24 × 40071

Prime Factorization of 64120

Prime factors of 64120 are 2, 5, 7, 229. Prime factorization of 64120 in exponential form is:

64120 = 23 × 51 × 71 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 64112 and 64120.

LCM(64112,64120) = 24 × 40071 × 51 × 71 × 2291
LCM(64112,64120) = 513857680