What is the Least Common Multiple of 12700 and 12715?

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 12700 and 12715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12700 and 12715, than apply into the LCM equation.

GCF(12700,12715) = 5
LCM(12700,12715) = ( 12700 × 12715) / 5
LCM(12700,12715) = 161480500 / 5
LCM(12700,12715) = 32296100

Least Common Multiple (LCM) of 12700 and 12715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12700 and 12715. First we will calculate the prime factors of 12700 and 12715.

Prime Factorization of 12700

Prime Factorization of 12715

Now multiplying the highest exponent prime factors to calculate the LCM of 12700 and 12715.

LCM(12700,12715) = 2² × 5² × 127¹ × 2543¹
LCM(12700,12715) = 32296100