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What is the Least Common Multiple of 84179 and 84192?

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 84179 and 84192 is 7087198368.

LCM(84179,84192) = 7087198368

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Least Common Multiple of 84179 and 84192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84179 and 84192, than apply into the LCM equation.

GCF(84179,84192) = 1
LCM(84179,84192) = ( 84179 × 84192) / 1
LCM(84179,84192) = 7087198368 / 1
LCM(84179,84192) = 7087198368

Least Common Multiple (LCM) of 84179 and 84192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84179 and 84192. First we will calculate the prime factors of 84179 and 84192.

Prime Factorization of 84179

Prime factors of 84179 are 84179. Prime factorization of 84179 in exponential form is:

84179 = 841791

Prime Factorization of 84192

Prime factors of 84192 are 2, 3, 877. Prime factorization of 84192 in exponential form is:

84192 = 25 × 31 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 84179 and 84192.

LCM(84179,84192) = 841791 × 25 × 31 × 8771
LCM(84179,84192) = 7087198368