What is the Least Common Multiple of 79605 and 79624?

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 79605 and 79624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79605 and 79624, than apply into the LCM equation.

GCF(79605,79624) = 1
LCM(79605,79624) = ( 79605 × 79624) / 1
LCM(79605,79624) = 6338468520 / 1
LCM(79605,79624) = 6338468520

Least Common Multiple (LCM) of 79605 and 79624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79605 and 79624. First we will calculate the prime factors of 79605 and 79624.

Prime Factorization of 79605

Prime Factorization of 79624

Now multiplying the highest exponent prime factors to calculate the LCM of 79605 and 79624.

LCM(79605,79624) = 3² × 5¹ × 29¹ × 61¹ × 2³ × 37¹ × 269¹
LCM(79605,79624) = 6338468520