What is the Least Common Multiple of 78988 and 79006?

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 79006 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 79006, than apply into the LCM equation.

GCF(78988,79006) = 2
LCM(78988,79006) = ( 78988 × 79006) / 2
LCM(78988,79006) = 6240525928 / 2
LCM(78988,79006) = 3120262964

Least Common Multiple (LCM) of 78988 and 79006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78988 and 79006. First we will calculate the prime factors of 78988 and 79006.

Prime Factorization of 78988

Prime Factorization of 79006

Now multiplying the highest exponent prime factors to calculate the LCM of 78988 and 79006.

LCM(78988,79006) = 2² × 7² × 13¹ × 31¹ × 39503¹
LCM(78988,79006) = 3120262964