What is the Least Common Multiple of 79515 and 79521?

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 79515 and 79521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79515 and 79521, than apply into the LCM equation.

GCF(79515,79521) = 3
LCM(79515,79521) = ( 79515 × 79521) / 3
LCM(79515,79521) = 6323112315 / 3
LCM(79515,79521) = 2107704105

Least Common Multiple (LCM) of 79515 and 79521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79515 and 79521. First we will calculate the prime factors of 79515 and 79521.

Prime Factorization of 79515

Prime Factorization of 79521

Now multiplying the highest exponent prime factors to calculate the LCM of 79515 and 79521.

LCM(79515,79521) = 3³ × 5¹ × 19¹ × 31¹ × 13¹ × 2039¹
LCM(79515,79521) = 2107704105