What is the Least Common Multiple of 64612 and 64628?

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 64612 and 64628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64612 and 64628, than apply into the LCM equation.

GCF(64612,64628) = 4
LCM(64612,64628) = ( 64612 × 64628) / 4
LCM(64612,64628) = 4175744336 / 4
LCM(64612,64628) = 1043936084

Least Common Multiple (LCM) of 64612 and 64628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64612 and 64628. First we will calculate the prime factors of 64612 and 64628.

Prime Factorization of 64612

Prime Factorization of 64628

Now multiplying the highest exponent prime factors to calculate the LCM of 64612 and 64628.

LCM(64612,64628) = 2² × 29¹ × 557¹ × 107¹ × 151¹
LCM(64612,64628) = 1043936084