What is the Least Common Multiple of 31376 and 31383?

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 31376 and 31383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31376 and 31383, than apply into the LCM equation.

GCF(31376,31383) = 1
LCM(31376,31383) = ( 31376 × 31383) / 1
LCM(31376,31383) = 984673008 / 1
LCM(31376,31383) = 984673008

Least Common Multiple (LCM) of 31376 and 31383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31376 and 31383. First we will calculate the prime factors of 31376 and 31383.

Prime Factorization of 31376

Prime Factorization of 31383

Now multiplying the highest exponent prime factors to calculate the LCM of 31376 and 31383.

LCM(31376,31383) = 2⁴ × 37¹ × 53¹ × 3² × 11¹ × 317¹
LCM(31376,31383) = 984673008