What is the Least Common Multiple of 31544 and 31559?

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 31559 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 31559, than apply into the LCM equation.

GCF(31544,31559) = 1
LCM(31544,31559) = ( 31544 × 31559) / 1
LCM(31544,31559) = 995497096 / 1
LCM(31544,31559) = 995497096

Least Common Multiple (LCM) of 31544 and 31559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31544 and 31559. First we will calculate the prime factors of 31544 and 31559.

Prime Factorization of 31544

Prime Factorization of 31559

Now multiplying the highest exponent prime factors to calculate the LCM of 31544 and 31559.

LCM(31544,31559) = 2³ × 3943¹ × 11¹ × 19¹ × 151¹
LCM(31544,31559) = 995497096