What is the Least Common Multiple of 23392 and 23412?

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 23392 and 23412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23392 and 23412, than apply into the LCM equation.

GCF(23392,23412) = 4
LCM(23392,23412) = ( 23392 × 23412) / 4
LCM(23392,23412) = 547653504 / 4
LCM(23392,23412) = 136913376

Least Common Multiple (LCM) of 23392 and 23412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23392 and 23412. First we will calculate the prime factors of 23392 and 23412.

Prime Factorization of 23392

Prime Factorization of 23412

Now multiplying the highest exponent prime factors to calculate the LCM of 23392 and 23412.

LCM(23392,23412) = 2⁵ × 17¹ × 43¹ × 3¹ × 1951¹
LCM(23392,23412) = 136913376