What is the Least Common Multiple of 31305 and 31322?

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 31305 and 31322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31305 and 31322, than apply into the LCM equation.

GCF(31305,31322) = 1
LCM(31305,31322) = ( 31305 × 31322) / 1
LCM(31305,31322) = 980535210 / 1
LCM(31305,31322) = 980535210

Least Common Multiple (LCM) of 31305 and 31322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31305 and 31322. First we will calculate the prime factors of 31305 and 31322.

Prime Factorization of 31305

Prime Factorization of 31322

Now multiplying the highest exponent prime factors to calculate the LCM of 31305 and 31322.

LCM(31305,31322) = 3¹ × 5¹ × 2087¹ × 2¹ × 15661¹
LCM(31305,31322) = 980535210