What is the Least Common Multiple of 12423 and 12429?

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 12423 and 12429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12423 and 12429, than apply into the LCM equation.

GCF(12423,12429) = 3
LCM(12423,12429) = ( 12423 × 12429) / 3
LCM(12423,12429) = 154405467 / 3
LCM(12423,12429) = 51468489

Least Common Multiple (LCM) of 12423 and 12429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12423 and 12429. First we will calculate the prime factors of 12423 and 12429.

Prime Factorization of 12423

Prime Factorization of 12429

Now multiplying the highest exponent prime factors to calculate the LCM of 12423 and 12429.

LCM(12423,12429) = 3² × 41¹ × 101¹ × 1381¹
LCM(12423,12429) = 51468489