What is the Least Common Multiple of 31659 and 31672?

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 31659 and 31672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31659 and 31672, than apply into the LCM equation.

GCF(31659,31672) = 1
LCM(31659,31672) = ( 31659 × 31672) / 1
LCM(31659,31672) = 1002703848 / 1
LCM(31659,31672) = 1002703848

Least Common Multiple (LCM) of 31659 and 31672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31659 and 31672. First we will calculate the prime factors of 31659 and 31672.

Prime Factorization of 31659

Prime Factorization of 31672

Now multiplying the highest exponent prime factors to calculate the LCM of 31659 and 31672.

LCM(31659,31672) = 3¹ × 61¹ × 173¹ × 2³ × 37¹ × 107¹
LCM(31659,31672) = 1002703848