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What is the Least Common Multiple of 63183 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 63183 and 63196 is 3992912868.

LCM(63183,63196) = 3992912868

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Least Common Multiple of 63183 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 63183 and 63196, than apply into the LCM equation.

GCF(63183,63196) = 1
LCM(63183,63196) = ( 63183 × 63196) / 1
LCM(63183,63196) = 3992912868 / 1
LCM(63183,63196) = 3992912868

Least Common Multiple (LCM) of 63183 and 63196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63183 and 63196. First we will calculate the prime factors of 63183 and 63196.

Prime Factorization of 63183

Prime factors of 63183 are 3, 21061. Prime factorization of 63183 in exponential form is:

63183 = 31 × 210611

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 63183 and 63196.

LCM(63183,63196) = 31 × 210611 × 22 × 71 × 371 × 611
LCM(63183,63196) = 3992912868