What is the Least Common Multiple of 78902 and 78908?

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 78902 and 78908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78902 and 78908, than apply into the LCM equation.

GCF(78902,78908) = 2
LCM(78902,78908) = ( 78902 × 78908) / 2
LCM(78902,78908) = 6225999016 / 2
LCM(78902,78908) = 3112999508

Least Common Multiple (LCM) of 78902 and 78908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78902 and 78908. First we will calculate the prime factors of 78902 and 78908.

Prime Factorization of 78902

Prime Factorization of 78908

Now multiplying the highest exponent prime factors to calculate the LCM of 78902 and 78908.

LCM(78902,78908) = 2² × 39451¹ × 19727¹
LCM(78902,78908) = 3112999508