What is the Least Common Multiple of 6424 and 6441?

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 6424 and 6441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6424 and 6441, than apply into the LCM equation.

GCF(6424,6441) = 1
LCM(6424,6441) = ( 6424 × 6441) / 1
LCM(6424,6441) = 41376984 / 1
LCM(6424,6441) = 41376984

Least Common Multiple (LCM) of 6424 and 6441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6441. First we will calculate the prime factors of 6424 and 6441.

Prime Factorization of 6424

Prime Factorization of 6441

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6441.

LCM(6424,6441) = 2³ × 11¹ × 73¹ × 3¹ × 19¹ × 113¹
LCM(6424,6441) = 41376984