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What is the Least Common Multiple of 63181 and 63195?

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 63181 and 63195 is 3992723295.

LCM(63181,63195) = 3992723295

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Least Common Multiple of 63181 and 63195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63181 and 63195, than apply into the LCM equation.

GCF(63181,63195) = 1
LCM(63181,63195) = ( 63181 × 63195) / 1
LCM(63181,63195) = 3992723295 / 1
LCM(63181,63195) = 3992723295

Least Common Multiple (LCM) of 63181 and 63195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63181 and 63195. First we will calculate the prime factors of 63181 and 63195.

Prime Factorization of 63181

Prime factors of 63181 are 23, 41, 67. Prime factorization of 63181 in exponential form is:

63181 = 231 × 411 × 671

Prime Factorization of 63195

Prime factors of 63195 are 3, 5, 11, 383. Prime factorization of 63195 in exponential form is:

63195 = 31 × 51 × 111 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 63181 and 63195.

LCM(63181,63195) = 231 × 411 × 671 × 31 × 51 × 111 × 3831
LCM(63181,63195) = 3992723295