What is the Least Common Multiple of 31641 and 31656?

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 31641 and 31656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31641 and 31656, than apply into the LCM equation.

GCF(31641,31656) = 3
LCM(31641,31656) = ( 31641 × 31656) / 3
LCM(31641,31656) = 1001627496 / 3
LCM(31641,31656) = 333875832

Least Common Multiple (LCM) of 31641 and 31656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31641 and 31656. First we will calculate the prime factors of 31641 and 31656.

Prime Factorization of 31641

Prime Factorization of 31656

Now multiplying the highest exponent prime factors to calculate the LCM of 31641 and 31656.

LCM(31641,31656) = 3¹ × 53¹ × 199¹ × 2³ × 1319¹
LCM(31641,31656) = 333875832