What is the Least Common Multiple of 95660 and 95675?

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 95660 and 95675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95660 and 95675, than apply into the LCM equation.

GCF(95660,95675) = 5
LCM(95660,95675) = ( 95660 × 95675) / 5
LCM(95660,95675) = 9152270500 / 5
LCM(95660,95675) = 1830454100

Least Common Multiple (LCM) of 95660 and 95675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95660 and 95675. First we will calculate the prime factors of 95660 and 95675.

Prime Factorization of 95660

Prime Factorization of 95675

Now multiplying the highest exponent prime factors to calculate the LCM of 95660 and 95675.

LCM(95660,95675) = 2² × 5² × 4783¹ × 43¹ × 89¹
LCM(95660,95675) = 1830454100