What is the Least Common Multiple of 31485 and 31495?

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 31485 and 31495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31485 and 31495, than apply into the LCM equation.

GCF(31485,31495) = 5
LCM(31485,31495) = ( 31485 × 31495) / 5
LCM(31485,31495) = 991620075 / 5
LCM(31485,31495) = 198324015

Least Common Multiple (LCM) of 31485 and 31495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31485 and 31495. First we will calculate the prime factors of 31485 and 31495.

Prime Factorization of 31485

Prime Factorization of 31495

Now multiplying the highest exponent prime factors to calculate the LCM of 31485 and 31495.

LCM(31485,31495) = 3¹ × 5¹ × 2099¹ × 6299¹
LCM(31485,31495) = 198324015