What is the Least Common Multiple of 64056 and 64068?

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 of 64056 and 64068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64056 and 64068, than apply into the LCM equation.

GCF(64056,64068) = 12
LCM(64056,64068) = ( 64056 × 64068) / 12
LCM(64056,64068) = 4103939808 / 12
LCM(64056,64068) = 341994984

Least Common Multiple (LCM) of 64056 and 64068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64056 and 64068. First we will calculate the prime factors of 64056 and 64068.

Prime Factorization of 64056

Prime Factorization of 64068

Now multiplying the highest exponent prime factors to calculate the LCM of 64056 and 64068.

LCM(64056,64068) = 2³ × 3¹ × 17¹ × 157¹ × 19¹ × 281¹
LCM(64056,64068) = 341994984