What is the Least Common Multiple of 12123 and 12142?

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 12123 and 12142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12123 and 12142, than apply into the LCM equation.

GCF(12123,12142) = 1
LCM(12123,12142) = ( 12123 × 12142) / 1
LCM(12123,12142) = 147197466 / 1
LCM(12123,12142) = 147197466

Least Common Multiple (LCM) of 12123 and 12142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12123 and 12142. First we will calculate the prime factors of 12123 and 12142.

Prime Factorization of 12123

Prime Factorization of 12142

Now multiplying the highest exponent prime factors to calculate the LCM of 12123 and 12142.

LCM(12123,12142) = 3³ × 449¹ × 2¹ × 13¹ × 467¹
LCM(12123,12142) = 147197466