What is the Least Common Multiple of 21288 and 21306?

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 21288 and 21306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21288 and 21306, than apply into the LCM equation.

GCF(21288,21306) = 6
LCM(21288,21306) = ( 21288 × 21306) / 6
LCM(21288,21306) = 453562128 / 6
LCM(21288,21306) = 75593688

Least Common Multiple (LCM) of 21288 and 21306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21288 and 21306. First we will calculate the prime factors of 21288 and 21306.

Prime Factorization of 21288

Prime Factorization of 21306

Now multiplying the highest exponent prime factors to calculate the LCM of 21288 and 21306.

LCM(21288,21306) = 2³ × 3¹ × 887¹ × 53¹ × 67¹
LCM(21288,21306) = 75593688