What is the Least Common Multiple of 12756 and 12765?

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 12756 and 12765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12756 and 12765, than apply into the LCM equation.

GCF(12756,12765) = 3
LCM(12756,12765) = ( 12756 × 12765) / 3
LCM(12756,12765) = 162830340 / 3
LCM(12756,12765) = 54276780

Least Common Multiple (LCM) of 12756 and 12765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12756 and 12765. First we will calculate the prime factors of 12756 and 12765.

Prime Factorization of 12756

Prime Factorization of 12765

Now multiplying the highest exponent prime factors to calculate the LCM of 12756 and 12765.

LCM(12756,12765) = 2² × 3¹ × 1063¹ × 5¹ × 23¹ × 37¹
LCM(12756,12765) = 54276780