What is the Least Common Multiple of 31906 and 31913?

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 31906 and 31913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31906 and 31913, than apply into the LCM equation.

GCF(31906,31913) = 7
LCM(31906,31913) = ( 31906 × 31913) / 7
LCM(31906,31913) = 1018216178 / 7
LCM(31906,31913) = 145459454

Least Common Multiple (LCM) of 31906 and 31913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31906 and 31913. First we will calculate the prime factors of 31906 and 31913.

Prime Factorization of 31906

Prime Factorization of 31913

Now multiplying the highest exponent prime factors to calculate the LCM of 31906 and 31913.

LCM(31906,31913) = 2¹ × 7¹ × 43¹ × 53¹ × 47¹ × 97¹
LCM(31906,31913) = 145459454