What is the Least Common Multiple of 31922 and 31931?

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 31922 and 31931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31922 and 31931, than apply into the LCM equation.

GCF(31922,31931) = 1
LCM(31922,31931) = ( 31922 × 31931) / 1
LCM(31922,31931) = 1019301382 / 1
LCM(31922,31931) = 1019301382

Least Common Multiple (LCM) of 31922 and 31931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31922 and 31931. First we will calculate the prime factors of 31922 and 31931.

Prime Factorization of 31922

Prime Factorization of 31931

Now multiplying the highest exponent prime factors to calculate the LCM of 31922 and 31931.

LCM(31922,31931) = 2¹ × 11¹ × 1451¹ × 37¹ × 863¹
LCM(31922,31931) = 1019301382