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What is the Least Common Multiple of 63377 and 63390?

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 63377 and 63390 is 4017468030.

LCM(63377,63390) = 4017468030

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Least Common Multiple of 63377 and 63390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63377 and 63390, than apply into the LCM equation.

GCF(63377,63390) = 1
LCM(63377,63390) = ( 63377 × 63390) / 1
LCM(63377,63390) = 4017468030 / 1
LCM(63377,63390) = 4017468030

Least Common Multiple (LCM) of 63377 and 63390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63377 and 63390. First we will calculate the prime factors of 63377 and 63390.

Prime Factorization of 63377

Prime factors of 63377 are 63377. Prime factorization of 63377 in exponential form is:

63377 = 633771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 63377 and 63390.

LCM(63377,63390) = 633771 × 21 × 31 × 51 × 21131
LCM(63377,63390) = 4017468030