What is the Least Common Multiple of 55146 and 55165?

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 55146 and 55165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55146 and 55165, than apply into the LCM equation.

GCF(55146,55165) = 1
LCM(55146,55165) = ( 55146 × 55165) / 1
LCM(55146,55165) = 3042129090 / 1
LCM(55146,55165) = 3042129090

Least Common Multiple (LCM) of 55146 and 55165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55146 and 55165. First we will calculate the prime factors of 55146 and 55165.

Prime Factorization of 55146

Prime Factorization of 55165

Now multiplying the highest exponent prime factors to calculate the LCM of 55146 and 55165.

LCM(55146,55165) = 2¹ × 3¹ × 7¹ × 13¹ × 101¹ × 5¹ × 11¹ × 17¹ × 59¹
LCM(55146,55165) = 3042129090