What is the Least Common Multiple of 79472 and 79479?

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 79479 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 79479, than apply into the LCM equation.

GCF(79472,79479) = 1
LCM(79472,79479) = ( 79472 × 79479) / 1
LCM(79472,79479) = 6316355088 / 1
LCM(79472,79479) = 6316355088

Least Common Multiple (LCM) of 79472 and 79479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79472 and 79479. First we will calculate the prime factors of 79472 and 79479.

Prime Factorization of 79472

Prime Factorization of 79479

Now multiplying the highest exponent prime factors to calculate the LCM of 79472 and 79479.

LCM(79472,79479) = 2⁴ × 4967¹ × 3² × 8831¹
LCM(79472,79479) = 6316355088