What is the Least Common Multiple of 39376 and 39393?

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 39393 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 39393, than apply into the LCM equation.

GCF(39376,39393) = 1
LCM(39376,39393) = ( 39376 × 39393) / 1
LCM(39376,39393) = 1551138768 / 1
LCM(39376,39393) = 1551138768

Least Common Multiple (LCM) of 39376 and 39393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39376 and 39393. First we will calculate the prime factors of 39376 and 39393.

Prime Factorization of 39376

Prime Factorization of 39393

Now multiplying the highest exponent prime factors to calculate the LCM of 39376 and 39393.

LCM(39376,39393) = 2⁴ × 23¹ × 107¹ × 3³ × 1459¹
LCM(39376,39393) = 1551138768