What is the Least Common Multiple of 76624 and 76631?

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 76624 and 76631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76624 and 76631, than apply into the LCM equation.

GCF(76624,76631) = 1
LCM(76624,76631) = ( 76624 × 76631) / 1
LCM(76624,76631) = 5871773744 / 1
LCM(76624,76631) = 5871773744

Least Common Multiple (LCM) of 76624 and 76631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76624 and 76631. First we will calculate the prime factors of 76624 and 76631.

Prime Factorization of 76624

Prime Factorization of 76631

Now multiplying the highest exponent prime factors to calculate the LCM of 76624 and 76631.

LCM(76624,76631) = 2⁴ × 4789¹ × 76631¹
LCM(76624,76631) = 5871773744