What is the Least Common Multiple of 79208 and 79219?

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 79208 and 79219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79208 and 79219, than apply into the LCM equation.

GCF(79208,79219) = 1
LCM(79208,79219) = ( 79208 × 79219) / 1
LCM(79208,79219) = 6274778552 / 1
LCM(79208,79219) = 6274778552

Least Common Multiple (LCM) of 79208 and 79219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79208 and 79219. First we will calculate the prime factors of 79208 and 79219.

Prime Factorization of 79208

Prime Factorization of 79219

Now multiplying the highest exponent prime factors to calculate the LCM of 79208 and 79219.

LCM(79208,79219) = 2³ × 9901¹ × 7¹ × 11317¹
LCM(79208,79219) = 6274778552