What is the Least Common Multiple of 78988 and 79007?

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 78988 and 79007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78988 and 79007, than apply into the LCM equation.

GCF(78988,79007) = 1
LCM(78988,79007) = ( 78988 × 79007) / 1
LCM(78988,79007) = 6240604916 / 1
LCM(78988,79007) = 6240604916

Least Common Multiple (LCM) of 78988 and 79007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78988 and 79007. First we will calculate the prime factors of 78988 and 79007.

Prime Factorization of 78988

Prime Factorization of 79007

Now multiplying the highest exponent prime factors to calculate the LCM of 78988 and 79007.

LCM(78988,79007) = 2² × 7² × 13¹ × 31¹ × 41² × 47¹
LCM(78988,79007) = 6240604916