What is the Least Common Multiple of 21297 and 21303?

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 21297 and 21303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21297 and 21303, than apply into the LCM equation.

GCF(21297,21303) = 3
LCM(21297,21303) = ( 21297 × 21303) / 3
LCM(21297,21303) = 453689991 / 3
LCM(21297,21303) = 151229997

Least Common Multiple (LCM) of 21297 and 21303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21297 and 21303. First we will calculate the prime factors of 21297 and 21303.

Prime Factorization of 21297

Prime Factorization of 21303

Now multiplying the highest exponent prime factors to calculate the LCM of 21297 and 21303.

LCM(21297,21303) = 3⁴ × 31¹ × 229¹ × 263¹
LCM(21297,21303) = 151229997