What is the Least Common Multiple of 12420 and 12438?

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 12420 and 12438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12420 and 12438, than apply into the LCM equation.

GCF(12420,12438) = 18
LCM(12420,12438) = ( 12420 × 12438) / 18
LCM(12420,12438) = 154479960 / 18
LCM(12420,12438) = 8582220

Least Common Multiple (LCM) of 12420 and 12438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12420 and 12438. First we will calculate the prime factors of 12420 and 12438.

Prime Factorization of 12420

Prime Factorization of 12438

Now multiplying the highest exponent prime factors to calculate the LCM of 12420 and 12438.

LCM(12420,12438) = 2² × 3³ × 5¹ × 23¹ × 691¹
LCM(12420,12438) = 8582220