What is the Least Common Multiple of 73638 and 73652?

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 73638 and 73652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73638 and 73652, than apply into the LCM equation.

GCF(73638,73652) = 2
LCM(73638,73652) = ( 73638 × 73652) / 2
LCM(73638,73652) = 5423585976 / 2
LCM(73638,73652) = 2711792988

Least Common Multiple (LCM) of 73638 and 73652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73638 and 73652. First we will calculate the prime factors of 73638 and 73652.

Prime Factorization of 73638

Prime Factorization of 73652

Now multiplying the highest exponent prime factors to calculate the LCM of 73638 and 73652.

LCM(73638,73652) = 2² × 3² × 4091¹ × 18413¹
LCM(73638,73652) = 2711792988