What is the Least Common Multiple of 95640 and 95650?

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 95640 and 95650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95640 and 95650, than apply into the LCM equation.

GCF(95640,95650) = 10
LCM(95640,95650) = ( 95640 × 95650) / 10
LCM(95640,95650) = 9147966000 / 10
LCM(95640,95650) = 914796600

Least Common Multiple (LCM) of 95640 and 95650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95640 and 95650. First we will calculate the prime factors of 95640 and 95650.

Prime Factorization of 95640

Prime Factorization of 95650

Now multiplying the highest exponent prime factors to calculate the LCM of 95640 and 95650.

LCM(95640,95650) = 2³ × 3¹ × 5² × 797¹ × 1913¹
LCM(95640,95650) = 914796600