What is the Least Common Multiple of 21339 and 21355?

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 21339 and 21355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21339 and 21355, than apply into the LCM equation.

GCF(21339,21355) = 1
LCM(21339,21355) = ( 21339 × 21355) / 1
LCM(21339,21355) = 455694345 / 1
LCM(21339,21355) = 455694345

Least Common Multiple (LCM) of 21339 and 21355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21339 and 21355. First we will calculate the prime factors of 21339 and 21355.

Prime Factorization of 21339

Prime Factorization of 21355

Now multiplying the highest exponent prime factors to calculate the LCM of 21339 and 21355.

LCM(21339,21355) = 3² × 2371¹ × 5¹ × 4271¹
LCM(21339,21355) = 455694345