What is the Least Common Multiple of 12705 and 12720?

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 12705 and 12720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12705 and 12720, than apply into the LCM equation.

GCF(12705,12720) = 15
LCM(12705,12720) = ( 12705 × 12720) / 15
LCM(12705,12720) = 161607600 / 15
LCM(12705,12720) = 10773840

Least Common Multiple (LCM) of 12705 and 12720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12705 and 12720. First we will calculate the prime factors of 12705 and 12720.

Prime Factorization of 12705

Prime Factorization of 12720

Now multiplying the highest exponent prime factors to calculate the LCM of 12705 and 12720.

LCM(12705,12720) = 3¹ × 5¹ × 7¹ × 11² × 2⁴ × 53¹
LCM(12705,12720) = 10773840