What is the Least Common Multiple of 55170 and 55186?

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 55186 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 55186, than apply into the LCM equation.

GCF(55170,55186) = 2
LCM(55170,55186) = ( 55170 × 55186) / 2
LCM(55170,55186) = 3044611620 / 2
LCM(55170,55186) = 1522305810

Least Common Multiple (LCM) of 55170 and 55186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55170 and 55186. First we will calculate the prime factors of 55170 and 55186.

Prime Factorization of 55170

Prime Factorization of 55186

Now multiplying the highest exponent prime factors to calculate the LCM of 55170 and 55186.

LCM(55170,55186) = 2¹ × 3² × 5¹ × 613¹ × 41¹ × 673¹
LCM(55170,55186) = 1522305810