What is the Least Common Multiple of 31544 and 31563?

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 31544 and 31563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31544 and 31563, than apply into the LCM equation.

GCF(31544,31563) = 1
LCM(31544,31563) = ( 31544 × 31563) / 1
LCM(31544,31563) = 995623272 / 1
LCM(31544,31563) = 995623272

Least Common Multiple (LCM) of 31544 and 31563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31544 and 31563. First we will calculate the prime factors of 31544 and 31563.

Prime Factorization of 31544

Prime Factorization of 31563

Now multiplying the highest exponent prime factors to calculate the LCM of 31544 and 31563.

LCM(31544,31563) = 2³ × 3943¹ × 3³ × 7¹ × 167¹
LCM(31544,31563) = 995623272