What is the Least Common Multiple of 89688 and 89692?

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 89688 and 89692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89688 and 89692, than apply into the LCM equation.

GCF(89688,89692) = 4
LCM(89688,89692) = ( 89688 × 89692) / 4
LCM(89688,89692) = 8044296096 / 4
LCM(89688,89692) = 2011074024

Least Common Multiple (LCM) of 89688 and 89692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89688 and 89692. First we will calculate the prime factors of 89688 and 89692.

Prime Factorization of 89688

Prime Factorization of 89692

Now multiplying the highest exponent prime factors to calculate the LCM of 89688 and 89692.

LCM(89688,89692) = 2³ × 3¹ × 37¹ × 101¹ × 17¹ × 1319¹
LCM(89688,89692) = 2011074024