What is the Least Common Multiple of 31586 and 31603?

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 31586 and 31603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31586 and 31603, than apply into the LCM equation.

GCF(31586,31603) = 17
LCM(31586,31603) = ( 31586 × 31603) / 17
LCM(31586,31603) = 998212358 / 17
LCM(31586,31603) = 58718374

Least Common Multiple (LCM) of 31586 and 31603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31586 and 31603. First we will calculate the prime factors of 31586 and 31603.

Prime Factorization of 31586

Prime Factorization of 31603

Now multiplying the highest exponent prime factors to calculate the LCM of 31586 and 31603.

LCM(31586,31603) = 2¹ × 17¹ × 929¹ × 11¹ × 13²
LCM(31586,31603) = 58718374