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What is the Least Common Multiple of 27326 and 27339?

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 27326 and 27339 is 57466578.

LCM(27326,27339) = 57466578

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Least Common Multiple of 27326 and 27339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27326 and 27339, than apply into the LCM equation.

GCF(27326,27339) = 13
LCM(27326,27339) = ( 27326 × 27339) / 13
LCM(27326,27339) = 747065514 / 13
LCM(27326,27339) = 57466578

Least Common Multiple (LCM) of 27326 and 27339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27326 and 27339. First we will calculate the prime factors of 27326 and 27339.

Prime Factorization of 27326

Prime factors of 27326 are 2, 13, 1051. Prime factorization of 27326 in exponential form is:

27326 = 21 × 131 × 10511

Prime Factorization of 27339

Prime factors of 27339 are 3, 13, 701. Prime factorization of 27339 in exponential form is:

27339 = 31 × 131 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 27326 and 27339.

LCM(27326,27339) = 21 × 131 × 10511 × 31 × 7011
LCM(27326,27339) = 57466578