What is the Least Common Multiple of 12720 and 12729?

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 12720 and 12729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12720 and 12729, than apply into the LCM equation.

GCF(12720,12729) = 3
LCM(12720,12729) = ( 12720 × 12729) / 3
LCM(12720,12729) = 161912880 / 3
LCM(12720,12729) = 53970960

Least Common Multiple (LCM) of 12720 and 12729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12720 and 12729. First we will calculate the prime factors of 12720 and 12729.

Prime Factorization of 12720

Prime Factorization of 12729

Now multiplying the highest exponent prime factors to calculate the LCM of 12720 and 12729.

LCM(12720,12729) = 2⁴ × 3¹ × 5¹ × 53¹ × 4243¹
LCM(12720,12729) = 53970960