What is the Least Common Multiple of 31644 and 31651?

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 31644 and 31651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31644 and 31651, than apply into the LCM equation.

GCF(31644,31651) = 1
LCM(31644,31651) = ( 31644 × 31651) / 1
LCM(31644,31651) = 1001564244 / 1
LCM(31644,31651) = 1001564244

Least Common Multiple (LCM) of 31644 and 31651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31644 and 31651. First we will calculate the prime factors of 31644 and 31651.

Prime Factorization of 31644

Prime Factorization of 31651

Now multiplying the highest exponent prime factors to calculate the LCM of 31644 and 31651.

LCM(31644,31651) = 2² × 3³ × 293¹ × 31¹ × 1021¹
LCM(31644,31651) = 1001564244