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What is the Least Common Multiple of 63167 and 63185?

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 63167 and 63185 is 3991206895.

LCM(63167,63185) = 3991206895

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Least Common Multiple of 63167 and 63185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63167 and 63185, than apply into the LCM equation.

GCF(63167,63185) = 1
LCM(63167,63185) = ( 63167 × 63185) / 1
LCM(63167,63185) = 3991206895 / 1
LCM(63167,63185) = 3991206895

Least Common Multiple (LCM) of 63167 and 63185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63167 and 63185. First we will calculate the prime factors of 63167 and 63185.

Prime Factorization of 63167

Prime factors of 63167 are 13, 43, 113. Prime factorization of 63167 in exponential form is:

63167 = 131 × 431 × 1131

Prime Factorization of 63185

Prime factors of 63185 are 5, 12637. Prime factorization of 63185 in exponential form is:

63185 = 51 × 126371

Now multiplying the highest exponent prime factors to calculate the LCM of 63167 and 63185.

LCM(63167,63185) = 131 × 431 × 1131 × 51 × 126371
LCM(63167,63185) = 3991206895