What is the Least Common Multiple of 76656 and 76672?

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 76656 and 76672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76656 and 76672, than apply into the LCM equation.

GCF(76656,76672) = 16
LCM(76656,76672) = ( 76656 × 76672) / 16
LCM(76656,76672) = 5877368832 / 16
LCM(76656,76672) = 367335552

Least Common Multiple (LCM) of 76656 and 76672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76656 and 76672. First we will calculate the prime factors of 76656 and 76672.

Prime Factorization of 76656

Prime Factorization of 76672

Now multiplying the highest exponent prime factors to calculate the LCM of 76656 and 76672.

LCM(76656,76672) = 2⁷ × 3¹ × 1597¹ × 599¹
LCM(76656,76672) = 367335552