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What is the Least Common Multiple of 27317 and 27334?

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 27317 and 27334 is 746682878.

LCM(27317,27334) = 746682878

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Least Common Multiple of 27317 and 27334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27317 and 27334, than apply into the LCM equation.

GCF(27317,27334) = 1
LCM(27317,27334) = ( 27317 × 27334) / 1
LCM(27317,27334) = 746682878 / 1
LCM(27317,27334) = 746682878

Least Common Multiple (LCM) of 27317 and 27334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27317 and 27334. First we will calculate the prime factors of 27317 and 27334.

Prime Factorization of 27317

Prime factors of 27317 are 59, 463. Prime factorization of 27317 in exponential form is:

27317 = 591 × 4631

Prime Factorization of 27334

Prime factors of 27334 are 2, 79, 173. Prime factorization of 27334 in exponential form is:

27334 = 21 × 791 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 27317 and 27334.

LCM(27317,27334) = 591 × 4631 × 21 × 791 × 1731
LCM(27317,27334) = 746682878