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What is the Least Common Multiple of 27326 and 27330?

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 27330 is 373409790.

LCM(27326,27330) = 373409790

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Least Common Multiple of 27326 and 27330 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 27330, than apply into the LCM equation.

GCF(27326,27330) = 2
LCM(27326,27330) = ( 27326 × 27330) / 2
LCM(27326,27330) = 746819580 / 2
LCM(27326,27330) = 373409790

Least Common Multiple (LCM) of 27326 and 27330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27326 and 27330. First we will calculate the prime factors of 27326 and 27330.

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 27330

Prime factors of 27330 are 2, 3, 5, 911. Prime factorization of 27330 in exponential form is:

27330 = 21 × 31 × 51 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 27326 and 27330.

LCM(27326,27330) = 21 × 131 × 10511 × 31 × 51 × 9111
LCM(27326,27330) = 373409790