What is the Least Common Multiple of 31475 and 31485?

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 31475 and 31485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31475 and 31485, than apply into the LCM equation.

GCF(31475,31485) = 5
LCM(31475,31485) = ( 31475 × 31485) / 5
LCM(31475,31485) = 990990375 / 5
LCM(31475,31485) = 198198075

Least Common Multiple (LCM) of 31475 and 31485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31475 and 31485. First we will calculate the prime factors of 31475 and 31485.

Prime Factorization of 31475

Prime Factorization of 31485

Now multiplying the highest exponent prime factors to calculate the LCM of 31475 and 31485.

LCM(31475,31485) = 5² × 1259¹ × 3¹ × 2099¹
LCM(31475,31485) = 198198075