What is the Least Common Multiple of 85560 and 85577?

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 85577 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 85577, than apply into the LCM equation.

GCF(85560,85577) = 1
LCM(85560,85577) = ( 85560 × 85577) / 1
LCM(85560,85577) = 7321968120 / 1
LCM(85560,85577) = 7321968120

Least Common Multiple (LCM) of 85560 and 85577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85560 and 85577. First we will calculate the prime factors of 85560 and 85577.

Prime Factorization of 85560

Prime Factorization of 85577

Now multiplying the highest exponent prime factors to calculate the LCM of 85560 and 85577.

LCM(85560,85577) = 2³ × 3¹ × 5¹ × 23¹ × 31¹ × 85577¹
LCM(85560,85577) = 7321968120