What is the Least Common Multiple of 34146 and 34164?

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 34146 and 34164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34146 and 34164, than apply into the LCM equation.

GCF(34146,34164) = 18
LCM(34146,34164) = ( 34146 × 34164) / 18
LCM(34146,34164) = 1166563944 / 18
LCM(34146,34164) = 64809108

Least Common Multiple (LCM) of 34146 and 34164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34146 and 34164. First we will calculate the prime factors of 34146 and 34164.

Prime Factorization of 34146

Prime Factorization of 34164

Now multiplying the highest exponent prime factors to calculate the LCM of 34146 and 34164.

LCM(34146,34164) = 2² × 3² × 7¹ × 271¹ × 13¹ × 73¹
LCM(34146,34164) = 64809108