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What is the Least Common Multiple of 63109 and 63127?

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 63109 and 63127 is 3983881843.

LCM(63109,63127) = 3983881843

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Least Common Multiple of 63109 and 63127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63109 and 63127, than apply into the LCM equation.

GCF(63109,63127) = 1
LCM(63109,63127) = ( 63109 × 63127) / 1
LCM(63109,63127) = 3983881843 / 1
LCM(63109,63127) = 3983881843

Least Common Multiple (LCM) of 63109 and 63127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63109 and 63127. First we will calculate the prime factors of 63109 and 63127.

Prime Factorization of 63109

Prime factors of 63109 are 223, 283. Prime factorization of 63109 in exponential form is:

63109 = 2231 × 2831

Prime Factorization of 63127

Prime factors of 63127 are 63127. Prime factorization of 63127 in exponential form is:

63127 = 631271

Now multiplying the highest exponent prime factors to calculate the LCM of 63109 and 63127.

LCM(63109,63127) = 2231 × 2831 × 631271
LCM(63109,63127) = 3983881843