What is the Least Common Multiple of 79472 and 79484?

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 79472 and 79484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79472 and 79484, than apply into the LCM equation.

GCF(79472,79484) = 4
LCM(79472,79484) = ( 79472 × 79484) / 4
LCM(79472,79484) = 6316752448 / 4
LCM(79472,79484) = 1579188112

Least Common Multiple (LCM) of 79472 and 79484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79472 and 79484. First we will calculate the prime factors of 79472 and 79484.

Prime Factorization of 79472

Prime Factorization of 79484

Now multiplying the highest exponent prime factors to calculate the LCM of 79472 and 79484.

LCM(79472,79484) = 2⁴ × 4967¹ × 31¹ × 641¹
LCM(79472,79484) = 1579188112