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What is the Least Common Multiple of 8091 and 8110?

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 8091 and 8110 is 65618010.

LCM(8091,8110) = 65618010

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Least Common Multiple of 8091 and 8110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8091 and 8110, than apply into the LCM equation.

GCF(8091,8110) = 1
LCM(8091,8110) = ( 8091 × 8110) / 1
LCM(8091,8110) = 65618010 / 1
LCM(8091,8110) = 65618010

Least Common Multiple (LCM) of 8091 and 8110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8091 and 8110. First we will calculate the prime factors of 8091 and 8110.

Prime Factorization of 8091

Prime factors of 8091 are 3, 29, 31. Prime factorization of 8091 in exponential form is:

8091 = 32 × 291 × 311

Prime Factorization of 8110

Prime factors of 8110 are 2, 5, 811. Prime factorization of 8110 in exponential form is:

8110 = 21 × 51 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 8091 and 8110.

LCM(8091,8110) = 32 × 291 × 311 × 21 × 51 × 8111
LCM(8091,8110) = 65618010