What is the Least Common Multiple of 78908 and 78922?

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 78908 and 78922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78908 and 78922, than apply into the LCM equation.

GCF(78908,78922) = 2
LCM(78908,78922) = ( 78908 × 78922) / 2
LCM(78908,78922) = 6227577176 / 2
LCM(78908,78922) = 3113788588

Least Common Multiple (LCM) of 78908 and 78922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78908 and 78922. First we will calculate the prime factors of 78908 and 78922.

Prime Factorization of 78908

Prime Factorization of 78922

Now multiplying the highest exponent prime factors to calculate the LCM of 78908 and 78922.

LCM(78908,78922) = 2² × 19727¹ × 39461¹
LCM(78908,78922) = 3113788588