What is the Least Common Multiple of 31585 and 31593?

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 31585 and 31593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31585 and 31593, than apply into the LCM equation.

GCF(31585,31593) = 1
LCM(31585,31593) = ( 31585 × 31593) / 1
LCM(31585,31593) = 997864905 / 1
LCM(31585,31593) = 997864905

Least Common Multiple (LCM) of 31585 and 31593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31585 and 31593. First we will calculate the prime factors of 31585 and 31593.

Prime Factorization of 31585

Prime Factorization of 31593

Now multiplying the highest exponent prime factors to calculate the LCM of 31585 and 31593.

LCM(31585,31593) = 5¹ × 6317¹ × 3¹ × 10531¹
LCM(31585,31593) = 997864905