What is the Least Common Multiple of 31647 and 31662?

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 31662 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 31662, than apply into the LCM equation.

GCF(31647,31662) = 3
LCM(31647,31662) = ( 31647 × 31662) / 3
LCM(31647,31662) = 1002007314 / 3
LCM(31647,31662) = 334002438

Least Common Multiple (LCM) of 31647 and 31662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31647 and 31662. First we will calculate the prime factors of 31647 and 31662.

Prime Factorization of 31647

Prime Factorization of 31662

Now multiplying the highest exponent prime factors to calculate the LCM of 31647 and 31662.

LCM(31647,31662) = 3² × 7¹ × 11¹ × 137¹ × 2¹ × 1759¹
LCM(31647,31662) = 334002438