What is the Least Common Multiple of 31902 and 31917?

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 31902 and 31917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31902 and 31917, than apply into the LCM equation.

GCF(31902,31917) = 3
LCM(31902,31917) = ( 31902 × 31917) / 3
LCM(31902,31917) = 1018216134 / 3
LCM(31902,31917) = 339405378

Least Common Multiple (LCM) of 31902 and 31917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31902 and 31917. First we will calculate the prime factors of 31902 and 31917.

Prime Factorization of 31902

Prime Factorization of 31917

Now multiplying the highest exponent prime factors to calculate the LCM of 31902 and 31917.

LCM(31902,31917) = 2¹ × 3¹ × 13¹ × 409¹ × 10639¹
LCM(31902,31917) = 339405378