What is the Least Common Multiple of 31637 and 31655?

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 31637 and 31655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31637 and 31655, than apply into the LCM equation.

GCF(31637,31655) = 1
LCM(31637,31655) = ( 31637 × 31655) / 1
LCM(31637,31655) = 1001469235 / 1
LCM(31637,31655) = 1001469235

Least Common Multiple (LCM) of 31637 and 31655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31637 and 31655. First we will calculate the prime factors of 31637 and 31655.

Prime Factorization of 31637

Prime Factorization of 31655

Now multiplying the highest exponent prime factors to calculate the LCM of 31637 and 31655.

LCM(31637,31655) = 17¹ × 1861¹ × 5¹ × 13¹ × 487¹
LCM(31637,31655) = 1001469235