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What is the Least Common Multiple of 63351 and 63371?

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 63351 and 63371 is 4014616221.

LCM(63351,63371) = 4014616221

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Least Common Multiple of 63351 and 63371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63351 and 63371, than apply into the LCM equation.

GCF(63351,63371) = 1
LCM(63351,63371) = ( 63351 × 63371) / 1
LCM(63351,63371) = 4014616221 / 1
LCM(63351,63371) = 4014616221

Least Common Multiple (LCM) of 63351 and 63371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63351 and 63371. First we will calculate the prime factors of 63351 and 63371.

Prime Factorization of 63351

Prime factors of 63351 are 3, 7039. Prime factorization of 63351 in exponential form is:

63351 = 32 × 70391

Prime Factorization of 63371

Prime factors of 63371 are 7, 11, 823. Prime factorization of 63371 in exponential form is:

63371 = 71 × 111 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 63351 and 63371.

LCM(63351,63371) = 32 × 70391 × 71 × 111 × 8231
LCM(63351,63371) = 4014616221