What is the Least Common Multiple of 2164 and 2174?

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 2164 and 2174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2164 and 2174, than apply into the LCM equation.

GCF(2164,2174) = 2
LCM(2164,2174) = ( 2164 × 2174) / 2
LCM(2164,2174) = 4704536 / 2
LCM(2164,2174) = 2352268

Least Common Multiple (LCM) of 2164 and 2174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2174. First we will calculate the prime factors of 2164 and 2174.

Prime Factorization of 2164

Prime Factorization of 2174

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2174.

LCM(2164,2174) = 2² × 541¹ × 1087¹
LCM(2164,2174) = 2352268