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What is the Least Common Multiple of 71327 and 71339?

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 71327 and 71339 is 5088396853.

LCM(71327,71339) = 5088396853

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Least Common Multiple of 71327 and 71339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71327 and 71339, than apply into the LCM equation.

GCF(71327,71339) = 1
LCM(71327,71339) = ( 71327 × 71339) / 1
LCM(71327,71339) = 5088396853 / 1
LCM(71327,71339) = 5088396853

Least Common Multiple (LCM) of 71327 and 71339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71327 and 71339. First we will calculate the prime factors of 71327 and 71339.

Prime Factorization of 71327

Prime factors of 71327 are 71327. Prime factorization of 71327 in exponential form is:

71327 = 713271

Prime Factorization of 71339

Prime factors of 71339 are 71339. Prime factorization of 71339 in exponential form is:

71339 = 713391

Now multiplying the highest exponent prime factors to calculate the LCM of 71327 and 71339.

LCM(71327,71339) = 713271 × 713391
LCM(71327,71339) = 5088396853