What is the Least Common Multiple of 79038 and 79048?

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 79038 and 79048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79038 and 79048, than apply into the LCM equation.

GCF(79038,79048) = 2
LCM(79038,79048) = ( 79038 × 79048) / 2
LCM(79038,79048) = 6247795824 / 2
LCM(79038,79048) = 3123897912

Least Common Multiple (LCM) of 79038 and 79048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79038 and 79048. First we will calculate the prime factors of 79038 and 79048.

Prime Factorization of 79038

Prime Factorization of 79048

Now multiplying the highest exponent prime factors to calculate the LCM of 79038 and 79048.

LCM(79038,79048) = 2³ × 3² × 4391¹ × 41¹ × 241¹
LCM(79038,79048) = 3123897912