What is the Least Common Multiple of 31366 and 31384?

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 31366 and 31384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31366 and 31384, than apply into the LCM equation.

GCF(31366,31384) = 2
LCM(31366,31384) = ( 31366 × 31384) / 2
LCM(31366,31384) = 984390544 / 2
LCM(31366,31384) = 492195272

Least Common Multiple (LCM) of 31366 and 31384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31366 and 31384. First we will calculate the prime factors of 31366 and 31384.

Prime Factorization of 31366

Prime Factorization of 31384

Now multiplying the highest exponent prime factors to calculate the LCM of 31366 and 31384.

LCM(31366,31384) = 2³ × 15683¹ × 3923¹
LCM(31366,31384) = 492195272