What is the Least Common Multiple of 12144 and 12156?

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 12144 and 12156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12144 and 12156, than apply into the LCM equation.

GCF(12144,12156) = 12
LCM(12144,12156) = ( 12144 × 12156) / 12
LCM(12144,12156) = 147622464 / 12
LCM(12144,12156) = 12301872

Least Common Multiple (LCM) of 12144 and 12156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12144 and 12156. First we will calculate the prime factors of 12144 and 12156.

Prime Factorization of 12144

Prime Factorization of 12156

Now multiplying the highest exponent prime factors to calculate the LCM of 12144 and 12156.

LCM(12144,12156) = 2⁴ × 3¹ × 11¹ × 23¹ × 1013¹
LCM(12144,12156) = 12301872