What is the Least Common Multiple of 29208 and 29219?

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 29208 and 29219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29208 and 29219, than apply into the LCM equation.

GCF(29208,29219) = 1
LCM(29208,29219) = ( 29208 × 29219) / 1
LCM(29208,29219) = 853428552 / 1
LCM(29208,29219) = 853428552

Least Common Multiple (LCM) of 29208 and 29219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29208 and 29219. First we will calculate the prime factors of 29208 and 29219.

Prime Factorization of 29208

Prime Factorization of 29219

Now multiplying the highest exponent prime factors to calculate the LCM of 29208 and 29219.

LCM(29208,29219) = 2³ × 3¹ × 1217¹ × 61¹ × 479¹
LCM(29208,29219) = 853428552