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What is the Least Common Multiple of 63187 and 63196?

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 63187 and 63196 is 3993165652.

LCM(63187,63196) = 3993165652

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Least Common Multiple of 63187 and 63196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63187 and 63196, than apply into the LCM equation.

GCF(63187,63196) = 1
LCM(63187,63196) = ( 63187 × 63196) / 1
LCM(63187,63196) = 3993165652 / 1
LCM(63187,63196) = 3993165652

Least Common Multiple (LCM) of 63187 and 63196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63187 and 63196. First we will calculate the prime factors of 63187 and 63196.

Prime Factorization of 63187

Prime factors of 63187 are 179, 353. Prime factorization of 63187 in exponential form is:

63187 = 1791 × 3531

Prime Factorization of 63196

Prime factors of 63196 are 2, 7, 37, 61. Prime factorization of 63196 in exponential form is:

63196 = 22 × 71 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 63187 and 63196.

LCM(63187,63196) = 1791 × 3531 × 22 × 71 × 371 × 611
LCM(63187,63196) = 3993165652