What is the Least Common Multiple of 95648 and 95660?

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 95648 and 95660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95648 and 95660, than apply into the LCM equation.

GCF(95648,95660) = 4
LCM(95648,95660) = ( 95648 × 95660) / 4
LCM(95648,95660) = 9149687680 / 4
LCM(95648,95660) = 2287421920

Least Common Multiple (LCM) of 95648 and 95660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95648 and 95660. First we will calculate the prime factors of 95648 and 95660.

Prime Factorization of 95648

Prime Factorization of 95660

Now multiplying the highest exponent prime factors to calculate the LCM of 95648 and 95660.

LCM(95648,95660) = 2⁵ × 7² × 61¹ × 5¹ × 4783¹
LCM(95648,95660) = 2287421920