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What is the Least Common Multiple of 63137 and 63143?

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 63137 and 63143 is 3986659591.

LCM(63137,63143) = 3986659591

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Least Common Multiple of 63137 and 63143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63137 and 63143, than apply into the LCM equation.

GCF(63137,63143) = 1
LCM(63137,63143) = ( 63137 × 63143) / 1
LCM(63137,63143) = 3986659591 / 1
LCM(63137,63143) = 3986659591

Least Common Multiple (LCM) of 63137 and 63143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63137 and 63143. First we will calculate the prime factors of 63137 and 63143.

Prime Factorization of 63137

Prime factors of 63137 are 19, 3323. Prime factorization of 63137 in exponential form is:

63137 = 191 × 33231

Prime Factorization of 63143

Prime factors of 63143 are 233, 271. Prime factorization of 63143 in exponential form is:

63143 = 2331 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 63137 and 63143.

LCM(63137,63143) = 191 × 33231 × 2331 × 2711
LCM(63137,63143) = 3986659591