What is the Least Common Multiple of 4146 and 4164?

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 4146 and 4164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4146 and 4164, than apply into the LCM equation.

GCF(4146,4164) = 6
LCM(4146,4164) = ( 4146 × 4164) / 6
LCM(4146,4164) = 17263944 / 6
LCM(4146,4164) = 2877324

Least Common Multiple (LCM) of 4146 and 4164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4146 and 4164. First we will calculate the prime factors of 4146 and 4164.

Prime Factorization of 4146

Prime Factorization of 4164

Now multiplying the highest exponent prime factors to calculate the LCM of 4146 and 4164.

LCM(4146,4164) = 2² × 3¹ × 691¹ × 347¹
LCM(4146,4164) = 2877324