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What is the Least Common Multiple of 27091 and 27110?

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 27091 and 27110 is 734437010.

LCM(27091,27110) = 734437010

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Least Common Multiple of 27091 and 27110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27091 and 27110, than apply into the LCM equation.

GCF(27091,27110) = 1
LCM(27091,27110) = ( 27091 × 27110) / 1
LCM(27091,27110) = 734437010 / 1
LCM(27091,27110) = 734437010

Least Common Multiple (LCM) of 27091 and 27110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27091 and 27110. First we will calculate the prime factors of 27091 and 27110.

Prime Factorization of 27091

Prime factors of 27091 are 27091. Prime factorization of 27091 in exponential form is:

27091 = 270911

Prime Factorization of 27110

Prime factors of 27110 are 2, 5, 2711. Prime factorization of 27110 in exponential form is:

27110 = 21 × 51 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 27091 and 27110.

LCM(27091,27110) = 270911 × 21 × 51 × 27111
LCM(27091,27110) = 734437010