What is the Least Common Multiple of 31916 and 31934?

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 31916 and 31934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31916 and 31934, than apply into the LCM equation.

GCF(31916,31934) = 2
LCM(31916,31934) = ( 31916 × 31934) / 2
LCM(31916,31934) = 1019205544 / 2
LCM(31916,31934) = 509602772

Least Common Multiple (LCM) of 31916 and 31934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31916 and 31934. First we will calculate the prime factors of 31916 and 31934.

Prime Factorization of 31916

Prime Factorization of 31934

Now multiplying the highest exponent prime factors to calculate the LCM of 31916 and 31934.

LCM(31916,31934) = 2² × 79¹ × 101¹ × 7¹ × 2281¹
LCM(31916,31934) = 509602772