What is the Least Common Multiple of 23358 and 23376?

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 23358 and 23376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23358 and 23376, than apply into the LCM equation.

GCF(23358,23376) = 6
LCM(23358,23376) = ( 23358 × 23376) / 6
LCM(23358,23376) = 546016608 / 6
LCM(23358,23376) = 91002768

Least Common Multiple (LCM) of 23358 and 23376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23358 and 23376. First we will calculate the prime factors of 23358 and 23376.

Prime Factorization of 23358

Prime Factorization of 23376

Now multiplying the highest exponent prime factors to calculate the LCM of 23358 and 23376.

LCM(23358,23376) = 2⁴ × 3¹ × 17¹ × 229¹ × 487¹
LCM(23358,23376) = 91002768