What is the Least Common Multiple of 80624 and 80631?

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 80624 and 80631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80624 and 80631, than apply into the LCM equation.

GCF(80624,80631) = 1
LCM(80624,80631) = ( 80624 × 80631) / 1
LCM(80624,80631) = 6500793744 / 1
LCM(80624,80631) = 6500793744

Least Common Multiple (LCM) of 80624 and 80631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80624 and 80631. First we will calculate the prime factors of 80624 and 80631.

Prime Factorization of 80624

Prime Factorization of 80631

Now multiplying the highest exponent prime factors to calculate the LCM of 80624 and 80631.

LCM(80624,80631) = 2⁴ × 5039¹ × 3² × 17² × 31¹
LCM(80624,80631) = 6500793744