GCF and LCM Calculator Logo

What is the Least Common Multiple of 23392 and 23409?

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 (LCM) of 23392 and 23409 is 32210784.

LCM(23392,23409) = 32210784

LCM Calculator and
and

Least Common Multiple of 23392 and 23409 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 23409, than apply into the LCM equation.

GCF(23392,23409) = 17
LCM(23392,23409) = ( 23392 × 23409) / 17
LCM(23392,23409) = 547583328 / 17
LCM(23392,23409) = 32210784

Least Common Multiple (LCM) of 23392 and 23409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23392 and 23409. First we will calculate the prime factors of 23392 and 23409.

Prime Factorization of 23392

Prime factors of 23392 are 2, 17, 43. Prime factorization of 23392 in exponential form is:

23392 = 25 × 171 × 431

Prime Factorization of 23409

Prime factors of 23409 are 3, 17. Prime factorization of 23409 in exponential form is:

23409 = 34 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 23392 and 23409.

LCM(23392,23409) = 25 × 172 × 431 × 34
LCM(23392,23409) = 32210784