What is the Least Common Multiple of 79200 and 79205?

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 79200 and 79205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79200 and 79205, than apply into the LCM equation.

GCF(79200,79205) = 5
LCM(79200,79205) = ( 79200 × 79205) / 5
LCM(79200,79205) = 6273036000 / 5
LCM(79200,79205) = 1254607200

Least Common Multiple (LCM) of 79200 and 79205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79200 and 79205. First we will calculate the prime factors of 79200 and 79205.

Prime Factorization of 79200

Prime Factorization of 79205

Now multiplying the highest exponent prime factors to calculate the LCM of 79200 and 79205.

LCM(79200,79205) = 2⁵ × 3² × 5² × 11¹ × 7¹ × 31¹ × 73¹
LCM(79200,79205) = 1254607200