What is the Least Common Multiple of 85560 and 85570?

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 85570 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 85570, than apply into the LCM equation.

GCF(85560,85570) = 10
LCM(85560,85570) = ( 85560 × 85570) / 10
LCM(85560,85570) = 7321369200 / 10
LCM(85560,85570) = 732136920

Least Common Multiple (LCM) of 85560 and 85570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85560 and 85570. First we will calculate the prime factors of 85560 and 85570.

Prime Factorization of 85560

Prime Factorization of 85570

Now multiplying the highest exponent prime factors to calculate the LCM of 85560 and 85570.

LCM(85560,85570) = 2³ × 3¹ × 5¹ × 23¹ × 31¹ × 43¹ × 199¹
LCM(85560,85570) = 732136920