What is the Least Common Multiple of 64521 and 64539?

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 64521 and 64539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64521 and 64539, than apply into the LCM equation.

GCF(64521,64539) = 9
LCM(64521,64539) = ( 64521 × 64539) / 9
LCM(64521,64539) = 4164120819 / 9
LCM(64521,64539) = 462680091

Least Common Multiple (LCM) of 64521 and 64539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64521 and 64539. First we will calculate the prime factors of 64521 and 64539.

Prime Factorization of 64521

Prime Factorization of 64539

Now multiplying the highest exponent prime factors to calculate the LCM of 64521 and 64539.

LCM(64521,64539) = 3² × 67¹ × 107¹ × 71¹ × 101¹
LCM(64521,64539) = 462680091