What is the Least Common Multiple of 79605 and 79620?

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 79620 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 79620, than apply into the LCM equation.

GCF(79605,79620) = 15
LCM(79605,79620) = ( 79605 × 79620) / 15
LCM(79605,79620) = 6338150100 / 15
LCM(79605,79620) = 422543340

Least Common Multiple (LCM) of 79605 and 79620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79605 and 79620. First we will calculate the prime factors of 79605 and 79620.

Prime Factorization of 79605

Prime Factorization of 79620

Now multiplying the highest exponent prime factors to calculate the LCM of 79605 and 79620.

LCM(79605,79620) = 3² × 5¹ × 29¹ × 61¹ × 2² × 1327¹
LCM(79605,79620) = 422543340