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What is the Least Common Multiple of 27096 and 27105?

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 27096 and 27105 is 244812360.

LCM(27096,27105) = 244812360

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Least Common Multiple of 27096 and 27105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27096 and 27105, than apply into the LCM equation.

GCF(27096,27105) = 3
LCM(27096,27105) = ( 27096 × 27105) / 3
LCM(27096,27105) = 734437080 / 3
LCM(27096,27105) = 244812360

Least Common Multiple (LCM) of 27096 and 27105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27096 and 27105. First we will calculate the prime factors of 27096 and 27105.

Prime Factorization of 27096

Prime factors of 27096 are 2, 3, 1129. Prime factorization of 27096 in exponential form is:

27096 = 23 × 31 × 11291

Prime Factorization of 27105

Prime factors of 27105 are 3, 5, 13, 139. Prime factorization of 27105 in exponential form is:

27105 = 31 × 51 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 27096 and 27105.

LCM(27096,27105) = 23 × 31 × 11291 × 51 × 131 × 1391
LCM(27096,27105) = 244812360