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What is the Least Common Multiple of 6429 and 6449?

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 6429 and 6449 is 41460621.

LCM(6429,6449) = 41460621

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Least Common Multiple of 6429 and 6449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6429 and 6449, than apply into the LCM equation.

GCF(6429,6449) = 1
LCM(6429,6449) = ( 6429 × 6449) / 1
LCM(6429,6449) = 41460621 / 1
LCM(6429,6449) = 41460621

Least Common Multiple (LCM) of 6429 and 6449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6429 and 6449. First we will calculate the prime factors of 6429 and 6449.

Prime Factorization of 6429

Prime factors of 6429 are 3, 2143. Prime factorization of 6429 in exponential form is:

6429 = 31 × 21431

Prime Factorization of 6449

Prime factors of 6449 are 6449. Prime factorization of 6449 in exponential form is:

6449 = 64491

Now multiplying the highest exponent prime factors to calculate the LCM of 6429 and 6449.

LCM(6429,6449) = 31 × 21431 × 64491
LCM(6429,6449) = 41460621