What is the Least Common Multiple of 88524 and 88536?

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 88524 and 88536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88524 and 88536, than apply into the LCM equation.

GCF(88524,88536) = 12
LCM(88524,88536) = ( 88524 × 88536) / 12
LCM(88524,88536) = 7837560864 / 12
LCM(88524,88536) = 653130072

Least Common Multiple (LCM) of 88524 and 88536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88524 and 88536. First we will calculate the prime factors of 88524 and 88536.

Prime Factorization of 88524

Prime Factorization of 88536

Now multiplying the highest exponent prime factors to calculate the LCM of 88524 and 88536.

LCM(88524,88536) = 2³ × 3² × 2459¹ × 7¹ × 17¹ × 31¹
LCM(88524,88536) = 653130072