What is the Least Common Multiple of 21285 and 21297?

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 21285 and 21297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21285 and 21297, than apply into the LCM equation.

GCF(21285,21297) = 3
LCM(21285,21297) = ( 21285 × 21297) / 3
LCM(21285,21297) = 453306645 / 3
LCM(21285,21297) = 151102215

Least Common Multiple (LCM) of 21285 and 21297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21285 and 21297. First we will calculate the prime factors of 21285 and 21297.

Prime Factorization of 21285

Prime Factorization of 21297

Now multiplying the highest exponent prime factors to calculate the LCM of 21285 and 21297.

LCM(21285,21297) = 3² × 5¹ × 11¹ × 43¹ × 31¹ × 229¹
LCM(21285,21297) = 151102215