What is the Least Common Multiple of 31369 and 31382?

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 31369 and 31382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31369 and 31382, than apply into the LCM equation.

GCF(31369,31382) = 13
LCM(31369,31382) = ( 31369 × 31382) / 13
LCM(31369,31382) = 984421958 / 13
LCM(31369,31382) = 75724766

Least Common Multiple (LCM) of 31369 and 31382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31369 and 31382. First we will calculate the prime factors of 31369 and 31382.

Prime Factorization of 31369

Prime Factorization of 31382

Now multiplying the highest exponent prime factors to calculate the LCM of 31369 and 31382.

LCM(31369,31382) = 13¹ × 19¹ × 127¹ × 2¹ × 17¹ × 71¹
LCM(31369,31382) = 75724766