What is the Least Common Multiple of 64612 and 64622?

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 64622 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 64622, than apply into the LCM equation.

GCF(64612,64622) = 2
LCM(64612,64622) = ( 64612 × 64622) / 2
LCM(64612,64622) = 4175356664 / 2
LCM(64612,64622) = 2087678332

Least Common Multiple (LCM) of 64612 and 64622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64612 and 64622. First we will calculate the prime factors of 64612 and 64622.

Prime Factorization of 64612

Prime Factorization of 64622

Now multiplying the highest exponent prime factors to calculate the LCM of 64612 and 64622.

LCM(64612,64622) = 2² × 29¹ × 557¹ × 79¹ × 409¹
LCM(64612,64622) = 2087678332