What is the Least Common Multiple of 89532 and 89538?

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 89532 and 89538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89532 and 89538, than apply into the LCM equation.

GCF(89532,89538) = 6
LCM(89532,89538) = ( 89532 × 89538) / 6
LCM(89532,89538) = 8016516216 / 6
LCM(89532,89538) = 1336086036

Least Common Multiple (LCM) of 89532 and 89538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89532 and 89538. First we will calculate the prime factors of 89532 and 89538.

Prime Factorization of 89532

Prime Factorization of 89538

Now multiplying the highest exponent prime factors to calculate the LCM of 89532 and 89538.

LCM(89532,89538) = 2² × 3³ × 829¹ × 14923¹
LCM(89532,89538) = 1336086036