What is the Least Common Multiple of 31484 and 31503?

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 31484 and 31503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31484 and 31503, than apply into the LCM equation.

GCF(31484,31503) = 1
LCM(31484,31503) = ( 31484 × 31503) / 1
LCM(31484,31503) = 991840452 / 1
LCM(31484,31503) = 991840452

Least Common Multiple (LCM) of 31484 and 31503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31484 and 31503. First we will calculate the prime factors of 31484 and 31503.

Prime Factorization of 31484

Prime Factorization of 31503

Now multiplying the highest exponent prime factors to calculate the LCM of 31484 and 31503.

LCM(31484,31503) = 2² × 17¹ × 463¹ × 3¹ × 10501¹
LCM(31484,31503) = 991840452