What is the Least Common Multiple of 85560 and 85575?

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 85560 and 85575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85560 and 85575, than apply into the LCM equation.

GCF(85560,85575) = 15
LCM(85560,85575) = ( 85560 × 85575) / 15
LCM(85560,85575) = 7321797000 / 15
LCM(85560,85575) = 488119800

Least Common Multiple (LCM) of 85560 and 85575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85560 and 85575. First we will calculate the prime factors of 85560 and 85575.

Prime Factorization of 85560

Prime Factorization of 85575

Now multiplying the highest exponent prime factors to calculate the LCM of 85560 and 85575.

LCM(85560,85575) = 2³ × 3¹ × 5² × 23¹ × 31¹ × 7¹ × 163¹
LCM(85560,85575) = 488119800