What is the Least Common Multiple of 88560 and 88575?

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 88560 and 88575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88560 and 88575, than apply into the LCM equation.

GCF(88560,88575) = 15
LCM(88560,88575) = ( 88560 × 88575) / 15
LCM(88560,88575) = 7844202000 / 15
LCM(88560,88575) = 522946800

Least Common Multiple (LCM) of 88560 and 88575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88560 and 88575. First we will calculate the prime factors of 88560 and 88575.

Prime Factorization of 88560

Prime Factorization of 88575

Now multiplying the highest exponent prime factors to calculate the LCM of 88560 and 88575.

LCM(88560,88575) = 2⁴ × 3³ × 5² × 41¹ × 1181¹
LCM(88560,88575) = 522946800