What is the Least Common Multiple of 23344 and 23354?

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 23344 and 23354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23344 and 23354, than apply into the LCM equation.

GCF(23344,23354) = 2
LCM(23344,23354) = ( 23344 × 23354) / 2
LCM(23344,23354) = 545175776 / 2
LCM(23344,23354) = 272587888

Least Common Multiple (LCM) of 23344 and 23354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23344 and 23354. First we will calculate the prime factors of 23344 and 23354.

Prime Factorization of 23344

Prime Factorization of 23354

Now multiplying the highest exponent prime factors to calculate the LCM of 23344 and 23354.

LCM(23344,23354) = 2⁴ × 1459¹ × 11677¹
LCM(23344,23354) = 272587888