What is the Least Common Multiple of 31578 and 31586?

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 31578 and 31586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31578 and 31586, than apply into the LCM equation.

GCF(31578,31586) = 2
LCM(31578,31586) = ( 31578 × 31586) / 2
LCM(31578,31586) = 997422708 / 2
LCM(31578,31586) = 498711354

Least Common Multiple (LCM) of 31578 and 31586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31578 and 31586. First we will calculate the prime factors of 31578 and 31586.

Prime Factorization of 31578

Prime Factorization of 31586

Now multiplying the highest exponent prime factors to calculate the LCM of 31578 and 31586.

LCM(31578,31586) = 2¹ × 3¹ × 19¹ × 277¹ × 17¹ × 929¹
LCM(31578,31586) = 498711354