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What is the Least Common Multiple of 79287 and 79297?

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 79287 and 79297 is 6287221239.

LCM(79287,79297) = 6287221239

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Least Common Multiple of 79287 and 79297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79287 and 79297, than apply into the LCM equation.

GCF(79287,79297) = 1
LCM(79287,79297) = ( 79287 × 79297) / 1
LCM(79287,79297) = 6287221239 / 1
LCM(79287,79297) = 6287221239

Least Common Multiple (LCM) of 79287 and 79297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79287 and 79297. First we will calculate the prime factors of 79287 and 79297.

Prime Factorization of 79287

Prime factors of 79287 are 3, 13, 19, 107. Prime factorization of 79287 in exponential form is:

79287 = 31 × 131 × 191 × 1071

Prime Factorization of 79297

Prime factors of 79297 are 179, 443. Prime factorization of 79297 in exponential form is:

79297 = 1791 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 79287 and 79297.

LCM(79287,79297) = 31 × 131 × 191 × 1071 × 1791 × 4431
LCM(79287,79297) = 6287221239