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What is the Least Common Multiple of 63179 and 63194?

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 63179 and 63194 is 3992533726.

LCM(63179,63194) = 3992533726

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Least Common Multiple of 63179 and 63194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63179 and 63194, than apply into the LCM equation.

GCF(63179,63194) = 1
LCM(63179,63194) = ( 63179 × 63194) / 1
LCM(63179,63194) = 3992533726 / 1
LCM(63179,63194) = 3992533726

Least Common Multiple (LCM) of 63179 and 63194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63179 and 63194. First we will calculate the prime factors of 63179 and 63194.

Prime Factorization of 63179

Prime factors of 63179 are 63179. Prime factorization of 63179 in exponential form is:

63179 = 631791

Prime Factorization of 63194

Prime factors of 63194 are 2, 19, 1663. Prime factorization of 63194 in exponential form is:

63194 = 21 × 191 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 63179 and 63194.

LCM(63179,63194) = 631791 × 21 × 191 × 16631
LCM(63179,63194) = 3992533726