What is the Least Common Multiple of 78624 and 78628?

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 78624 and 78628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78624 and 78628, than apply into the LCM equation.

GCF(78624,78628) = 4
LCM(78624,78628) = ( 78624 × 78628) / 4
LCM(78624,78628) = 6182047872 / 4
LCM(78624,78628) = 1545511968

Least Common Multiple (LCM) of 78624 and 78628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78624 and 78628. First we will calculate the prime factors of 78624 and 78628.

Prime Factorization of 78624

Prime Factorization of 78628

Now multiplying the highest exponent prime factors to calculate the LCM of 78624 and 78628.

LCM(78624,78628) = 2⁵ × 3³ × 7¹ × 13¹ × 11¹ × 1787¹
LCM(78624,78628) = 1545511968