What is the Least Common Multiple of 11392 and 11409?

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 11392 and 11409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11392 and 11409, than apply into the LCM equation.

GCF(11392,11409) = 1
LCM(11392,11409) = ( 11392 × 11409) / 1
LCM(11392,11409) = 129971328 / 1
LCM(11392,11409) = 129971328

Least Common Multiple (LCM) of 11392 and 11409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11392 and 11409. First we will calculate the prime factors of 11392 and 11409.

Prime Factorization of 11392

Prime Factorization of 11409

Now multiplying the highest exponent prime factors to calculate the LCM of 11392 and 11409.

LCM(11392,11409) = 2⁷ × 89¹ × 3¹ × 3803¹
LCM(11392,11409) = 129971328