What is the Least Common Multiple of 30897 and 30909?

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 30897 and 30909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30897 and 30909, than apply into the LCM equation.

GCF(30897,30909) = 3
LCM(30897,30909) = ( 30897 × 30909) / 3
LCM(30897,30909) = 954995373 / 3
LCM(30897,30909) = 318331791

Least Common Multiple (LCM) of 30897 and 30909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30897 and 30909. First we will calculate the prime factors of 30897 and 30909.

Prime Factorization of 30897

Prime Factorization of 30909

Now multiplying the highest exponent prime factors to calculate the LCM of 30897 and 30909.

LCM(30897,30909) = 3² × 3433¹ × 10303¹
LCM(30897,30909) = 318331791