What is the Least Common Multiple of 2172 and 2181?

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 2172 and 2181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2181, than apply into the LCM equation.

GCF(2172,2181) = 3
LCM(2172,2181) = ( 2172 × 2181) / 3
LCM(2172,2181) = 4737132 / 3
LCM(2172,2181) = 1579044

Least Common Multiple (LCM) of 2172 and 2181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2181. First we will calculate the prime factors of 2172 and 2181.

Prime Factorization of 2172

Prime Factorization of 2181

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2181.

LCM(2172,2181) = 2² × 3¹ × 181¹ × 727¹
LCM(2172,2181) = 1579044