What is the Least Common Multiple of 12354 and 12372?

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 12354 and 12372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12354 and 12372, than apply into the LCM equation.

GCF(12354,12372) = 6
LCM(12354,12372) = ( 12354 × 12372) / 6
LCM(12354,12372) = 152843688 / 6
LCM(12354,12372) = 25473948

Least Common Multiple (LCM) of 12354 and 12372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12354 and 12372. First we will calculate the prime factors of 12354 and 12372.

Prime Factorization of 12354

Prime Factorization of 12372

Now multiplying the highest exponent prime factors to calculate the LCM of 12354 and 12372.

LCM(12354,12372) = 2² × 3¹ × 29¹ × 71¹ × 1031¹
LCM(12354,12372) = 25473948