What is the Least Common Multiple of 21306 and 21317?

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 21306 and 21317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21306 and 21317, than apply into the LCM equation.

GCF(21306,21317) = 1
LCM(21306,21317) = ( 21306 × 21317) / 1
LCM(21306,21317) = 454180002 / 1
LCM(21306,21317) = 454180002

Least Common Multiple (LCM) of 21306 and 21317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21306 and 21317. First we will calculate the prime factors of 21306 and 21317.

Prime Factorization of 21306

Prime Factorization of 21317

Now multiplying the highest exponent prime factors to calculate the LCM of 21306 and 21317.

LCM(21306,21317) = 2¹ × 3¹ × 53¹ × 67¹ × 21317¹
LCM(21306,21317) = 454180002