What is the Least Common Multiple of 31603 and 31621?

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 31603 and 31621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31603 and 31621, than apply into the LCM equation.

GCF(31603,31621) = 1
LCM(31603,31621) = ( 31603 × 31621) / 1
LCM(31603,31621) = 999318463 / 1
LCM(31603,31621) = 999318463

Least Common Multiple (LCM) of 31603 and 31621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31603 and 31621. First we will calculate the prime factors of 31603 and 31621.

Prime Factorization of 31603

Prime Factorization of 31621

Now multiplying the highest exponent prime factors to calculate the LCM of 31603 and 31621.

LCM(31603,31621) = 11¹ × 13² × 17¹ × 103¹ × 307¹
LCM(31603,31621) = 999318463