What is the Least Common Multiple of 9144 and 9156?

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 9144 and 9156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9144 and 9156, than apply into the LCM equation.

GCF(9144,9156) = 12
LCM(9144,9156) = ( 9144 × 9156) / 12
LCM(9144,9156) = 83722464 / 12
LCM(9144,9156) = 6976872

Least Common Multiple (LCM) of 9144 and 9156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9156. First we will calculate the prime factors of 9144 and 9156.

Prime Factorization of 9144

Prime Factorization of 9156

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9156.

LCM(9144,9156) = 2³ × 3² × 127¹ × 7¹ × 109¹
LCM(9144,9156) = 6976872