What is the Least Common Multiple of 64641 and 64653?

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 64641 and 64653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64641 and 64653, than apply into the LCM equation.

GCF(64641,64653) = 3
LCM(64641,64653) = ( 64641 × 64653) / 3
LCM(64641,64653) = 4179234573 / 3
LCM(64641,64653) = 1393078191

Least Common Multiple (LCM) of 64641 and 64653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64641 and 64653. First we will calculate the prime factors of 64641 and 64653.

Prime Factorization of 64641

Prime Factorization of 64653

Now multiplying the highest exponent prime factors to calculate the LCM of 64641 and 64653.

LCM(64641,64653) = 3¹ × 29¹ × 743¹ × 23¹ × 937¹
LCM(64641,64653) = 1393078191