What is the Least Common Multiple of 23500 and 23518?

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 23500 and 23518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23500 and 23518, than apply into the LCM equation.

GCF(23500,23518) = 2
LCM(23500,23518) = ( 23500 × 23518) / 2
LCM(23500,23518) = 552673000 / 2
LCM(23500,23518) = 276336500

Least Common Multiple (LCM) of 23500 and 23518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23500 and 23518. First we will calculate the prime factors of 23500 and 23518.

Prime Factorization of 23500

Prime Factorization of 23518

Now multiplying the highest exponent prime factors to calculate the LCM of 23500 and 23518.

LCM(23500,23518) = 2² × 5³ × 47¹ × 11¹ × 1069¹
LCM(23500,23518) = 276336500