What is the Least Common Multiple of 88539 and 88554?

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 88539 and 88554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88539 and 88554, than apply into the LCM equation.

GCF(88539,88554) = 3
LCM(88539,88554) = ( 88539 × 88554) / 3
LCM(88539,88554) = 7840482606 / 3
LCM(88539,88554) = 2613494202

Least Common Multiple (LCM) of 88539 and 88554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88539 and 88554. First we will calculate the prime factors of 88539 and 88554.

Prime Factorization of 88539

Prime Factorization of 88554

Now multiplying the highest exponent prime factors to calculate the LCM of 88539 and 88554.

LCM(88539,88554) = 3¹ × 11¹ × 2683¹ × 2¹ × 14759¹
LCM(88539,88554) = 2613494202