What is the Least Common Multiple of 31647 and 31653?

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 31647 and 31653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31647 and 31653, than apply into the LCM equation.

GCF(31647,31653) = 3
LCM(31647,31653) = ( 31647 × 31653) / 3
LCM(31647,31653) = 1001722491 / 3
LCM(31647,31653) = 333907497

Least Common Multiple (LCM) of 31647 and 31653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31647 and 31653. First we will calculate the prime factors of 31647 and 31653.

Prime Factorization of 31647

Prime Factorization of 31653

Now multiplying the highest exponent prime factors to calculate the LCM of 31647 and 31653.

LCM(31647,31653) = 3² × 7¹ × 11¹ × 137¹ × 3517¹
LCM(31647,31653) = 333907497