What is the Least Common Multiple of 95648 and 95668?

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 95668 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 95668, than apply into the LCM equation.

GCF(95648,95668) = 4
LCM(95648,95668) = ( 95648 × 95668) / 4
LCM(95648,95668) = 9150452864 / 4
LCM(95648,95668) = 2287613216

Least Common Multiple (LCM) of 95648 and 95668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95648 and 95668. First we will calculate the prime factors of 95648 and 95668.

Prime Factorization of 95648

Prime Factorization of 95668

Now multiplying the highest exponent prime factors to calculate the LCM of 95648 and 95668.

LCM(95648,95668) = 2⁵ × 7² × 61¹ × 23917¹
LCM(95648,95668) = 2287613216