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What is the Least Common Multiple of 63323 and 63339?

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 63323 and 63339 is 4010815497.

LCM(63323,63339) = 4010815497

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Least Common Multiple of 63323 and 63339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63323 and 63339, than apply into the LCM equation.

GCF(63323,63339) = 1
LCM(63323,63339) = ( 63323 × 63339) / 1
LCM(63323,63339) = 4010815497 / 1
LCM(63323,63339) = 4010815497

Least Common Multiple (LCM) of 63323 and 63339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63323 and 63339. First we will calculate the prime factors of 63323 and 63339.

Prime Factorization of 63323

Prime factors of 63323 are 13, 4871. Prime factorization of 63323 in exponential form is:

63323 = 131 × 48711

Prime Factorization of 63339

Prime factors of 63339 are 3, 43, 491. Prime factorization of 63339 in exponential form is:

63339 = 31 × 431 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 63323 and 63339.

LCM(63323,63339) = 131 × 48711 × 31 × 431 × 4911
LCM(63323,63339) = 4010815497