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What is the Least Common Multiple of 6469 and 6483?

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 6469 and 6483 is 41938527.

LCM(6469,6483) = 41938527

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Least Common Multiple of 6469 and 6483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6469 and 6483, than apply into the LCM equation.

GCF(6469,6483) = 1
LCM(6469,6483) = ( 6469 × 6483) / 1
LCM(6469,6483) = 41938527 / 1
LCM(6469,6483) = 41938527

Least Common Multiple (LCM) of 6469 and 6483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6469 and 6483. First we will calculate the prime factors of 6469 and 6483.

Prime Factorization of 6469

Prime factors of 6469 are 6469. Prime factorization of 6469 in exponential form is:

6469 = 64691

Prime Factorization of 6483

Prime factors of 6483 are 3, 2161. Prime factorization of 6483 in exponential form is:

6483 = 31 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 6469 and 6483.

LCM(6469,6483) = 64691 × 31 × 21611
LCM(6469,6483) = 41938527