What is the Least Common Multiple of 6423 and 6438?

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 6423 and 6438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6423 and 6438, than apply into the LCM equation.

GCF(6423,6438) = 3
LCM(6423,6438) = ( 6423 × 6438) / 3
LCM(6423,6438) = 41351274 / 3
LCM(6423,6438) = 13783758

Least Common Multiple (LCM) of 6423 and 6438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6423 and 6438. First we will calculate the prime factors of 6423 and 6438.

Prime Factorization of 6423

Prime Factorization of 6438

Now multiplying the highest exponent prime factors to calculate the LCM of 6423 and 6438.

LCM(6423,6438) = 3¹ × 2141¹ × 2¹ × 29¹ × 37¹
LCM(6423,6438) = 13783758