What is the Least Common Multiple of 4146 and 4161?

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 4161 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 4161, than apply into the LCM equation.

GCF(4146,4161) = 3
LCM(4146,4161) = ( 4146 × 4161) / 3
LCM(4146,4161) = 17251506 / 3
LCM(4146,4161) = 5750502

Least Common Multiple (LCM) of 4146 and 4161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4146 and 4161. First we will calculate the prime factors of 4146 and 4161.

Prime Factorization of 4146

Prime Factorization of 4161

Now multiplying the highest exponent prime factors to calculate the LCM of 4146 and 4161.

LCM(4146,4161) = 2¹ × 3¹ × 691¹ × 19¹ × 73¹
LCM(4146,4161) = 5750502