What is the Least Common Multiple of 80624 and 80628?

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 80628 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 80628, than apply into the LCM equation.

GCF(80624,80628) = 4
LCM(80624,80628) = ( 80624 × 80628) / 4
LCM(80624,80628) = 6500551872 / 4
LCM(80624,80628) = 1625137968

Least Common Multiple (LCM) of 80624 and 80628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80624 and 80628. First we will calculate the prime factors of 80624 and 80628.

Prime Factorization of 80624

Prime Factorization of 80628

Now multiplying the highest exponent prime factors to calculate the LCM of 80624 and 80628.

LCM(80624,80628) = 2⁴ × 5039¹ × 3¹ × 6719¹
LCM(80624,80628) = 1625137968