What is the Least Common Multiple of 31505 and 31510?

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 31505 and 31510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31505 and 31510, than apply into the LCM equation.

GCF(31505,31510) = 5
LCM(31505,31510) = ( 31505 × 31510) / 5
LCM(31505,31510) = 992722550 / 5
LCM(31505,31510) = 198544510

Least Common Multiple (LCM) of 31505 and 31510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31505 and 31510. First we will calculate the prime factors of 31505 and 31510.

Prime Factorization of 31505

Prime Factorization of 31510

Now multiplying the highest exponent prime factors to calculate the LCM of 31505 and 31510.

LCM(31505,31510) = 5¹ × 6301¹ × 2¹ × 23¹ × 137¹
LCM(31505,31510) = 198544510