What is the Least Common Multiple of 79210 and 79225?

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 79210 and 79225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79210 and 79225, than apply into the LCM equation.

GCF(79210,79225) = 5
LCM(79210,79225) = ( 79210 × 79225) / 5
LCM(79210,79225) = 6275412250 / 5
LCM(79210,79225) = 1255082450

Least Common Multiple (LCM) of 79210 and 79225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79210 and 79225. First we will calculate the prime factors of 79210 and 79225.

Prime Factorization of 79210

Prime Factorization of 79225

Now multiplying the highest exponent prime factors to calculate the LCM of 79210 and 79225.

LCM(79210,79225) = 2¹ × 5² × 89² × 3169¹
LCM(79210,79225) = 1255082450