What is the Least Common Multiple of 79509 and 79524?

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 79509 and 79524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79509 and 79524, than apply into the LCM equation.

GCF(79509,79524) = 3
LCM(79509,79524) = ( 79509 × 79524) / 3
LCM(79509,79524) = 6322873716 / 3
LCM(79509,79524) = 2107624572

Least Common Multiple (LCM) of 79509 and 79524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79509 and 79524. First we will calculate the prime factors of 79509 and 79524.

Prime Factorization of 79509

Prime Factorization of 79524

Now multiplying the highest exponent prime factors to calculate the LCM of 79509 and 79524.

LCM(79509,79524) = 3² × 17¹ × 1559¹ × 2² × 47²
LCM(79509,79524) = 2107624572