What is the Least Common Multiple of 64612 and 64626?

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 64626 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 64626, than apply into the LCM equation.

GCF(64612,64626) = 2
LCM(64612,64626) = ( 64612 × 64626) / 2
LCM(64612,64626) = 4175615112 / 2
LCM(64612,64626) = 2087807556

Least Common Multiple (LCM) of 64612 and 64626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64612 and 64626. First we will calculate the prime factors of 64612 and 64626.

Prime Factorization of 64612

Prime Factorization of 64626

Now multiplying the highest exponent prime factors to calculate the LCM of 64612 and 64626.

LCM(64612,64626) = 2² × 29¹ × 557¹ × 3¹ × 10771¹
LCM(64612,64626) = 2087807556