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What is the Least Common Multiple of 6435 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 (LCM) of 6435 and 6441 is 13815945.

LCM(6435,6441) = 13815945

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Least Common Multiple of 6435 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 6435 and 6441, than apply into the LCM equation.

GCF(6435,6441) = 3
LCM(6435,6441) = ( 6435 × 6441) / 3
LCM(6435,6441) = 41447835 / 3
LCM(6435,6441) = 13815945

Least Common Multiple (LCM) of 6435 and 6441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6435 and 6441. First we will calculate the prime factors of 6435 and 6441.

Prime Factorization of 6435

Prime factors of 6435 are 3, 5, 11, 13. Prime factorization of 6435 in exponential form is:

6435 = 32 × 51 × 111 × 131

Prime Factorization of 6441

Prime factors of 6441 are 3, 19, 113. Prime factorization of 6441 in exponential form is:

6441 = 31 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6435 and 6441.

LCM(6435,6441) = 32 × 51 × 111 × 131 × 191 × 1131
LCM(6435,6441) = 13815945