What is the Least Common Multiple of 6414 and 6423?

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 6414 and 6423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6414 and 6423, than apply into the LCM equation.

GCF(6414,6423) = 3
LCM(6414,6423) = ( 6414 × 6423) / 3
LCM(6414,6423) = 41197122 / 3
LCM(6414,6423) = 13732374

Least Common Multiple (LCM) of 6414 and 6423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6414 and 6423. First we will calculate the prime factors of 6414 and 6423.

Prime Factorization of 6414

Prime Factorization of 6423

Now multiplying the highest exponent prime factors to calculate the LCM of 6414 and 6423.

LCM(6414,6423) = 2¹ × 3¹ × 1069¹ × 2141¹
LCM(6414,6423) = 13732374