What is the Least Common Multiple of 31593 and 31609?

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 31593 and 31609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31593 and 31609, than apply into the LCM equation.

GCF(31593,31609) = 1
LCM(31593,31609) = ( 31593 × 31609) / 1
LCM(31593,31609) = 998623137 / 1
LCM(31593,31609) = 998623137

Least Common Multiple (LCM) of 31593 and 31609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31593 and 31609. First we will calculate the prime factors of 31593 and 31609.

Prime Factorization of 31593

Prime Factorization of 31609

Now multiplying the highest exponent prime factors to calculate the LCM of 31593 and 31609.

LCM(31593,31609) = 3¹ × 10531¹ × 73¹ × 433¹
LCM(31593,31609) = 998623137