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What is the Least Common Multiple of 6424 and 6439?

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 (LCM) of 6424 and 6439 is 41364136.

LCM(6424,6439) = 41364136

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Least Common Multiple of 6424 and 6439 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 6439, than apply into the LCM equation.

GCF(6424,6439) = 1
LCM(6424,6439) = ( 6424 × 6439) / 1
LCM(6424,6439) = 41364136 / 1
LCM(6424,6439) = 41364136

Least Common Multiple (LCM) of 6424 and 6439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6439. First we will calculate the prime factors of 6424 and 6439.

Prime Factorization of 6424

Prime factors of 6424 are 2, 11, 73. Prime factorization of 6424 in exponential form is:

6424 = 23 × 111 × 731

Prime Factorization of 6439

Prime factors of 6439 are 47, 137. Prime factorization of 6439 in exponential form is:

6439 = 471 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6439.

LCM(6424,6439) = 23 × 111 × 731 × 471 × 1371
LCM(6424,6439) = 41364136