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What is the Least Common Multiple of 63443 and 63449?

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 63443 and 63449 is 4025394907.

LCM(63443,63449) = 4025394907

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Least Common Multiple of 63443 and 63449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63443 and 63449, than apply into the LCM equation.

GCF(63443,63449) = 1
LCM(63443,63449) = ( 63443 × 63449) / 1
LCM(63443,63449) = 4025394907 / 1
LCM(63443,63449) = 4025394907

Least Common Multiple (LCM) of 63443 and 63449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63443 and 63449. First we will calculate the prime factors of 63443 and 63449.

Prime Factorization of 63443

Prime factors of 63443 are 63443. Prime factorization of 63443 in exponential form is:

63443 = 634431

Prime Factorization of 63449

Prime factors of 63449 are 67, 947. Prime factorization of 63449 in exponential form is:

63449 = 671 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 63443 and 63449.

LCM(63443,63449) = 634431 × 671 × 9471
LCM(63443,63449) = 4025394907