What is the Least Common Multiple of 55170 and 55179?

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 55170 and 55179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55170 and 55179, than apply into the LCM equation.

GCF(55170,55179) = 9
LCM(55170,55179) = ( 55170 × 55179) / 9
LCM(55170,55179) = 3044225430 / 9
LCM(55170,55179) = 338247270

Least Common Multiple (LCM) of 55170 and 55179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55170 and 55179. First we will calculate the prime factors of 55170 and 55179.

Prime Factorization of 55170

Prime Factorization of 55179

Now multiplying the highest exponent prime factors to calculate the LCM of 55170 and 55179.

LCM(55170,55179) = 2¹ × 3² × 5¹ × 613¹ × 6131¹
LCM(55170,55179) = 338247270