What is the Least Common Multiple of 4164 and 4179?

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 4164 and 4179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4164 and 4179, than apply into the LCM equation.

GCF(4164,4179) = 3
LCM(4164,4179) = ( 4164 × 4179) / 3
LCM(4164,4179) = 17401356 / 3
LCM(4164,4179) = 5800452

Least Common Multiple (LCM) of 4164 and 4179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4179. First we will calculate the prime factors of 4164 and 4179.

Prime Factorization of 4164

Prime Factorization of 4179

Now multiplying the highest exponent prime factors to calculate the LCM of 4164 and 4179.

LCM(4164,4179) = 2² × 3¹ × 347¹ × 7¹ × 199¹
LCM(4164,4179) = 5800452