What is the Least Common Multiple of 31353 and 31359?

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 31353 and 31359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31353 and 31359, than apply into the LCM equation.

GCF(31353,31359) = 3
LCM(31353,31359) = ( 31353 × 31359) / 3
LCM(31353,31359) = 983198727 / 3
LCM(31353,31359) = 327732909

Least Common Multiple (LCM) of 31353 and 31359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31353 and 31359. First we will calculate the prime factors of 31353 and 31359.

Prime Factorization of 31353

Prime Factorization of 31359

Now multiplying the highest exponent prime factors to calculate the LCM of 31353 and 31359.

LCM(31353,31359) = 3¹ × 7¹ × 1493¹ × 10453¹
LCM(31353,31359) = 327732909