What is the Least Common Multiple of 76672 and 76678?

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 76672 and 76678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76672 and 76678, than apply into the LCM equation.

GCF(76672,76678) = 2
LCM(76672,76678) = ( 76672 × 76678) / 2
LCM(76672,76678) = 5879055616 / 2
LCM(76672,76678) = 2939527808

Least Common Multiple (LCM) of 76672 and 76678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76672 and 76678. First we will calculate the prime factors of 76672 and 76678.

Prime Factorization of 76672

Prime Factorization of 76678

Now multiplying the highest exponent prime factors to calculate the LCM of 76672 and 76678.

LCM(76672,76678) = 2⁷ × 599¹ × 7¹ × 5477¹
LCM(76672,76678) = 2939527808