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What is the Least Common Multiple of 6424 and 6442?

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 6442 is 20691704.

LCM(6424,6442) = 20691704

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Least Common Multiple of 6424 and 6442 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 6442, than apply into the LCM equation.

GCF(6424,6442) = 2
LCM(6424,6442) = ( 6424 × 6442) / 2
LCM(6424,6442) = 41383408 / 2
LCM(6424,6442) = 20691704

Least Common Multiple (LCM) of 6424 and 6442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6442. First we will calculate the prime factors of 6424 and 6442.

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 6442

Prime factors of 6442 are 2, 3221. Prime factorization of 6442 in exponential form is:

6442 = 21 × 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6442.

LCM(6424,6442) = 23 × 111 × 731 × 32211
LCM(6424,6442) = 20691704