What is the Least Common Multiple of 78628 and 78633?

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 78628 and 78633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78628 and 78633, than apply into the LCM equation.

GCF(78628,78633) = 1
LCM(78628,78633) = ( 78628 × 78633) / 1
LCM(78628,78633) = 6182755524 / 1
LCM(78628,78633) = 6182755524

Least Common Multiple (LCM) of 78628 and 78633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78628 and 78633. First we will calculate the prime factors of 78628 and 78633.

Prime Factorization of 78628

Prime Factorization of 78633

Now multiplying the highest exponent prime factors to calculate the LCM of 78628 and 78633.

LCM(78628,78633) = 2² × 11¹ × 1787¹ × 3² × 8737¹
LCM(78628,78633) = 6182755524