What is the Least Common Multiple of 4164 and 4169?

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 4169 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 4169, than apply into the LCM equation.

GCF(4164,4169) = 1
LCM(4164,4169) = ( 4164 × 4169) / 1
LCM(4164,4169) = 17359716 / 1
LCM(4164,4169) = 17359716

Least Common Multiple (LCM) of 4164 and 4169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4169. First we will calculate the prime factors of 4164 and 4169.

Prime Factorization of 4164

Prime Factorization of 4169

Now multiplying the highest exponent prime factors to calculate the LCM of 4164 and 4169.

LCM(4164,4169) = 2² × 3¹ × 347¹ × 11¹ × 379¹
LCM(4164,4169) = 17359716