What is the Least Common Multiple of 12510 and 12515?

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 12510 and 12515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12510 and 12515, than apply into the LCM equation.

GCF(12510,12515) = 5
LCM(12510,12515) = ( 12510 × 12515) / 5
LCM(12510,12515) = 156562650 / 5
LCM(12510,12515) = 31312530

Least Common Multiple (LCM) of 12510 and 12515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12510 and 12515. First we will calculate the prime factors of 12510 and 12515.

Prime Factorization of 12510

Prime Factorization of 12515

Now multiplying the highest exponent prime factors to calculate the LCM of 12510 and 12515.

LCM(12510,12515) = 2¹ × 3² × 5¹ × 139¹ × 2503¹
LCM(12510,12515) = 31312530