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What is the Least Common Multiple of 63145 and 63161?

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 63145 and 63161 is 3988301345.

LCM(63145,63161) = 3988301345

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Least Common Multiple of 63145 and 63161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63145 and 63161, than apply into the LCM equation.

GCF(63145,63161) = 1
LCM(63145,63161) = ( 63145 × 63161) / 1
LCM(63145,63161) = 3988301345 / 1
LCM(63145,63161) = 3988301345

Least Common Multiple (LCM) of 63145 and 63161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63145 and 63161. First we will calculate the prime factors of 63145 and 63161.

Prime Factorization of 63145

Prime factors of 63145 are 5, 73, 173. Prime factorization of 63145 in exponential form is:

63145 = 51 × 731 × 1731

Prime Factorization of 63161

Prime factors of 63161 are 7, 1289. Prime factorization of 63161 in exponential form is:

63161 = 72 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 63145 and 63161.

LCM(63145,63161) = 51 × 731 × 1731 × 72 × 12891
LCM(63145,63161) = 3988301345