What is the Least Common Multiple of 23500 and 23506?

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 23506 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 23506, than apply into the LCM equation.

GCF(23500,23506) = 2
LCM(23500,23506) = ( 23500 × 23506) / 2
LCM(23500,23506) = 552391000 / 2
LCM(23500,23506) = 276195500

Least Common Multiple (LCM) of 23500 and 23506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23500 and 23506. First we will calculate the prime factors of 23500 and 23506.

Prime Factorization of 23500

Prime Factorization of 23506

Now multiplying the highest exponent prime factors to calculate the LCM of 23500 and 23506.

LCM(23500,23506) = 2² × 5³ × 47¹ × 7¹ × 23¹ × 73¹
LCM(23500,23506) = 276195500