What is the Least Common Multiple of 23508 and 23515?

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 23508 and 23515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23508 and 23515, than apply into the LCM equation.

GCF(23508,23515) = 1
LCM(23508,23515) = ( 23508 × 23515) / 1
LCM(23508,23515) = 552790620 / 1
LCM(23508,23515) = 552790620

Least Common Multiple (LCM) of 23508 and 23515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23508 and 23515. First we will calculate the prime factors of 23508 and 23515.

Prime Factorization of 23508

Prime Factorization of 23515

Now multiplying the highest exponent prime factors to calculate the LCM of 23508 and 23515.

LCM(23508,23515) = 2² × 3² × 653¹ × 5¹ × 4703¹
LCM(23508,23515) = 552790620