What is the Least Common Multiple of 79600 and 79605?

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 79600 and 79605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79600 and 79605, than apply into the LCM equation.

GCF(79600,79605) = 5
LCM(79600,79605) = ( 79600 × 79605) / 5
LCM(79600,79605) = 6336558000 / 5
LCM(79600,79605) = 1267311600

Least Common Multiple (LCM) of 79600 and 79605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79600 and 79605. First we will calculate the prime factors of 79600 and 79605.

Prime Factorization of 79600

Prime Factorization of 79605

Now multiplying the highest exponent prime factors to calculate the LCM of 79600 and 79605.

LCM(79600,79605) = 2⁴ × 5² × 199¹ × 3² × 29¹ × 61¹
LCM(79600,79605) = 1267311600