GCF and LCM Calculator Logo

What is the Least Common Multiple of 64111 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 64111 and 64120 is 4110797320.

LCM(64111,64120) = 4110797320

LCM Calculator and
and

Least Common Multiple of 64111 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 64111 and 64120, than apply into the LCM equation.

GCF(64111,64120) = 1
LCM(64111,64120) = ( 64111 × 64120) / 1
LCM(64111,64120) = 4110797320 / 1
LCM(64111,64120) = 4110797320

Least Common Multiple (LCM) of 64111 and 64120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64111 and 64120. First we will calculate the prime factors of 64111 and 64120.

Prime Factorization of 64111

Prime factors of 64111 are 61, 1051. Prime factorization of 64111 in exponential form is:

64111 = 611 × 10511

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 64111 and 64120.

LCM(64111,64120) = 611 × 10511 × 23 × 51 × 71 × 2291
LCM(64111,64120) = 4110797320