What is the Least Common Multiple of 52650 and 52659?

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 52650 and 52659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52650 and 52659, than apply into the LCM equation.

GCF(52650,52659) = 9
LCM(52650,52659) = ( 52650 × 52659) / 9
LCM(52650,52659) = 2772496350 / 9
LCM(52650,52659) = 308055150

Least Common Multiple (LCM) of 52650 and 52659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52650 and 52659. First we will calculate the prime factors of 52650 and 52659.

Prime Factorization of 52650

Prime Factorization of 52659

Now multiplying the highest exponent prime factors to calculate the LCM of 52650 and 52659.

LCM(52650,52659) = 2¹ × 3⁴ × 5² × 13¹ × 5851¹
LCM(52650,52659) = 308055150