What is the Least Common Multiple of 12720 and 12725?

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 12725 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 12725, than apply into the LCM equation.

GCF(12720,12725) = 5
LCM(12720,12725) = ( 12720 × 12725) / 5
LCM(12720,12725) = 161862000 / 5
LCM(12720,12725) = 32372400

Least Common Multiple (LCM) of 12720 and 12725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12720 and 12725. First we will calculate the prime factors of 12720 and 12725.

Prime Factorization of 12720

Prime Factorization of 12725

Now multiplying the highest exponent prime factors to calculate the LCM of 12720 and 12725.

LCM(12720,12725) = 2⁴ × 3¹ × 5² × 53¹ × 509¹
LCM(12720,12725) = 32372400