What is the Least Common Multiple of 95640 and 95657?

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 95657 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 95657, than apply into the LCM equation.

GCF(95640,95657) = 1
LCM(95640,95657) = ( 95640 × 95657) / 1
LCM(95640,95657) = 9148635480 / 1
LCM(95640,95657) = 9148635480

Least Common Multiple (LCM) of 95640 and 95657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95640 and 95657. First we will calculate the prime factors of 95640 and 95657.

Prime Factorization of 95640

Prime Factorization of 95657

Now multiplying the highest exponent prime factors to calculate the LCM of 95640 and 95657.

LCM(95640,95657) = 2³ × 3¹ × 5¹ × 797¹ × 23¹ × 4159¹
LCM(95640,95657) = 9148635480