What is the Least Common Multiple of 23504 and 23508?

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 23504 and 23508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23504 and 23508, than apply into the LCM equation.

GCF(23504,23508) = 4
LCM(23504,23508) = ( 23504 × 23508) / 4
LCM(23504,23508) = 552532032 / 4
LCM(23504,23508) = 138133008

Least Common Multiple (LCM) of 23504 and 23508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23504 and 23508. First we will calculate the prime factors of 23504 and 23508.

Prime Factorization of 23504

Prime Factorization of 23508

Now multiplying the highest exponent prime factors to calculate the LCM of 23504 and 23508.

LCM(23504,23508) = 2⁴ × 13¹ × 113¹ × 3² × 653¹
LCM(23504,23508) = 138133008