What is the Least Common Multiple of 89628 and 89637?

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 89628 and 89637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89628 and 89637, than apply into the LCM equation.

GCF(89628,89637) = 3
LCM(89628,89637) = ( 89628 × 89637) / 3
LCM(89628,89637) = 8033985036 / 3
LCM(89628,89637) = 2677995012

Least Common Multiple (LCM) of 89628 and 89637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89628 and 89637. First we will calculate the prime factors of 89628 and 89637.

Prime Factorization of 89628

Prime Factorization of 89637

Now multiplying the highest exponent prime factors to calculate the LCM of 89628 and 89637.

LCM(89628,89637) = 2² × 3¹ × 7¹ × 11¹ × 97¹ × 29879¹
LCM(89628,89637) = 2677995012