What is the Least Common Multiple of 88575 and 88584?

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 88575 and 88584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88575 and 88584, than apply into the LCM equation.

GCF(88575,88584) = 3
LCM(88575,88584) = ( 88575 × 88584) / 3
LCM(88575,88584) = 7846327800 / 3
LCM(88575,88584) = 2615442600

Least Common Multiple (LCM) of 88575 and 88584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88575 and 88584. First we will calculate the prime factors of 88575 and 88584.

Prime Factorization of 88575

Prime Factorization of 88584

Now multiplying the highest exponent prime factors to calculate the LCM of 88575 and 88584.

LCM(88575,88584) = 3¹ × 5² × 1181¹ × 2³ × 3691¹
LCM(88575,88584) = 2615442600