What is the Least Common Multiple of 6285 and 6297?

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 6285 and 6297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6285 and 6297, than apply into the LCM equation.

GCF(6285,6297) = 3
LCM(6285,6297) = ( 6285 × 6297) / 3
LCM(6285,6297) = 39576645 / 3
LCM(6285,6297) = 13192215

Least Common Multiple (LCM) of 6285 and 6297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6285 and 6297. First we will calculate the prime factors of 6285 and 6297.

Prime Factorization of 6285

Prime Factorization of 6297

Now multiplying the highest exponent prime factors to calculate the LCM of 6285 and 6297.

LCM(6285,6297) = 3¹ × 5¹ × 419¹ × 2099¹
LCM(6285,6297) = 13192215