What is the Least Common Multiple of 79595 and 79600?

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 79595 and 79600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79595 and 79600, than apply into the LCM equation.

GCF(79595,79600) = 5
LCM(79595,79600) = ( 79595 × 79600) / 5
LCM(79595,79600) = 6335762000 / 5
LCM(79595,79600) = 1267152400

Least Common Multiple (LCM) of 79595 and 79600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79595 and 79600. First we will calculate the prime factors of 79595 and 79600.

Prime Factorization of 79595

Prime Factorization of 79600

Now multiplying the highest exponent prime factors to calculate the LCM of 79595 and 79600.

LCM(79595,79600) = 5² × 15919¹ × 2⁴ × 199¹
LCM(79595,79600) = 1267152400