What is the Least Common Multiple of 6438 and 6447?

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 6438 and 6447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6447, than apply into the LCM equation.

GCF(6438,6447) = 3
LCM(6438,6447) = ( 6438 × 6447) / 3
LCM(6438,6447) = 41505786 / 3
LCM(6438,6447) = 13835262

Least Common Multiple (LCM) of 6438 and 6447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6447. First we will calculate the prime factors of 6438 and 6447.

Prime Factorization of 6438

Prime Factorization of 6447

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6447.

LCM(6438,6447) = 2¹ × 3¹ × 29¹ × 37¹ × 7¹ × 307¹
LCM(6438,6447) = 13835262