What is the Least Common Multiple of 79484 and 79504?

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 79484 and 79504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79484 and 79504, than apply into the LCM equation.

GCF(79484,79504) = 4
LCM(79484,79504) = ( 79484 × 79504) / 4
LCM(79484,79504) = 6319295936 / 4
LCM(79484,79504) = 1579823984

Least Common Multiple (LCM) of 79484 and 79504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79484 and 79504. First we will calculate the prime factors of 79484 and 79504.

Prime Factorization of 79484

Prime Factorization of 79504

Now multiplying the highest exponent prime factors to calculate the LCM of 79484 and 79504.

LCM(79484,79504) = 2⁴ × 31¹ × 641¹ × 4969¹
LCM(79484,79504) = 1579823984