What is the Least Common Multiple of 95672 and 95678?

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 95672 and 95678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95672 and 95678, than apply into the LCM equation.

GCF(95672,95678) = 2
LCM(95672,95678) = ( 95672 × 95678) / 2
LCM(95672,95678) = 9153705616 / 2
LCM(95672,95678) = 4576852808

Least Common Multiple (LCM) of 95672 and 95678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95672 and 95678. First we will calculate the prime factors of 95672 and 95678.

Prime Factorization of 95672

Prime Factorization of 95678

Now multiplying the highest exponent prime factors to calculate the LCM of 95672 and 95678.

LCM(95672,95678) = 2³ × 11959¹ × 11¹ × 4349¹
LCM(95672,95678) = 4576852808