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What is the Least Common Multiple of 63390 and 63397?

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 63390 and 63397 is 4018735830.

LCM(63390,63397) = 4018735830

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Least Common Multiple of 63390 and 63397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63390 and 63397, than apply into the LCM equation.

GCF(63390,63397) = 1
LCM(63390,63397) = ( 63390 × 63397) / 1
LCM(63390,63397) = 4018735830 / 1
LCM(63390,63397) = 4018735830

Least Common Multiple (LCM) of 63390 and 63397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63390 and 63397. First we will calculate the prime factors of 63390 and 63397.

Prime Factorization of 63390

Prime factors of 63390 are 2, 3, 5, 2113. Prime factorization of 63390 in exponential form is:

63390 = 21 × 31 × 51 × 21131

Prime Factorization of 63397

Prime factors of 63397 are 63397. Prime factorization of 63397 in exponential form is:

63397 = 633971

Now multiplying the highest exponent prime factors to calculate the LCM of 63390 and 63397.

LCM(63390,63397) = 21 × 31 × 51 × 21131 × 633971
LCM(63390,63397) = 4018735830