What is the Least Common Multiple of 23376 and 23381?

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 23376 and 23381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23376 and 23381, than apply into the LCM equation.

GCF(23376,23381) = 1
LCM(23376,23381) = ( 23376 × 23381) / 1
LCM(23376,23381) = 546554256 / 1
LCM(23376,23381) = 546554256

Least Common Multiple (LCM) of 23376 and 23381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23376 and 23381. First we will calculate the prime factors of 23376 and 23381.

Prime Factorization of 23376

Prime Factorization of 23381

Now multiplying the highest exponent prime factors to calculate the LCM of 23376 and 23381.

LCM(23376,23381) = 2⁴ × 3¹ × 487¹ × 103¹ × 227¹
LCM(23376,23381) = 546554256