What is the Least Common Multiple of 39376 and 39392?

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 39376 and 39392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39376 and 39392, than apply into the LCM equation.

GCF(39376,39392) = 16
LCM(39376,39392) = ( 39376 × 39392) / 16
LCM(39376,39392) = 1551099392 / 16
LCM(39376,39392) = 96943712

Least Common Multiple (LCM) of 39376 and 39392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39376 and 39392. First we will calculate the prime factors of 39376 and 39392.

Prime Factorization of 39376

Prime Factorization of 39392

Now multiplying the highest exponent prime factors to calculate the LCM of 39376 and 39392.

LCM(39376,39392) = 2⁵ × 23¹ × 107¹ × 1231¹
LCM(39376,39392) = 96943712