What is the Least Common Multiple of 4314 and 4323?

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 4314 and 4323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4314 and 4323, than apply into the LCM equation.

GCF(4314,4323) = 3
LCM(4314,4323) = ( 4314 × 4323) / 3
LCM(4314,4323) = 18649422 / 3
LCM(4314,4323) = 6216474

Least Common Multiple (LCM) of 4314 and 4323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4314 and 4323. First we will calculate the prime factors of 4314 and 4323.

Prime Factorization of 4314

Prime Factorization of 4323

Now multiplying the highest exponent prime factors to calculate the LCM of 4314 and 4323.

LCM(4314,4323) = 2¹ × 3¹ × 719¹ × 11¹ × 131¹
LCM(4314,4323) = 6216474