What is the Least Common Multiple of 21429 and 21438?

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 21429 and 21438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21429 and 21438, than apply into the LCM equation.

GCF(21429,21438) = 9
LCM(21429,21438) = ( 21429 × 21438) / 9
LCM(21429,21438) = 459394902 / 9
LCM(21429,21438) = 51043878

Least Common Multiple (LCM) of 21429 and 21438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21429 and 21438. First we will calculate the prime factors of 21429 and 21438.

Prime Factorization of 21429

Prime Factorization of 21438

Now multiplying the highest exponent prime factors to calculate the LCM of 21429 and 21438.

LCM(21429,21438) = 3³ × 2381¹ × 2¹ × 397¹
LCM(21429,21438) = 51043878