What is the Least Common Multiple of 23888 and 23908?

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 23888 and 23908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23888 and 23908, than apply into the LCM equation.

GCF(23888,23908) = 4
LCM(23888,23908) = ( 23888 × 23908) / 4
LCM(23888,23908) = 571114304 / 4
LCM(23888,23908) = 142778576

Least Common Multiple (LCM) of 23888 and 23908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23888 and 23908. First we will calculate the prime factors of 23888 and 23908.

Prime Factorization of 23888

Prime Factorization of 23908

Now multiplying the highest exponent prime factors to calculate the LCM of 23888 and 23908.

LCM(23888,23908) = 2⁴ × 1493¹ × 43¹ × 139¹
LCM(23888,23908) = 142778576