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What is the Least Common Multiple of 27086 and 27106?

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 27086 and 27106 is 367096558.

LCM(27086,27106) = 367096558

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Least Common Multiple of 27086 and 27106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27086 and 27106, than apply into the LCM equation.

GCF(27086,27106) = 2
LCM(27086,27106) = ( 27086 × 27106) / 2
LCM(27086,27106) = 734193116 / 2
LCM(27086,27106) = 367096558

Least Common Multiple (LCM) of 27086 and 27106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27086 and 27106. First we will calculate the prime factors of 27086 and 27106.

Prime Factorization of 27086

Prime factors of 27086 are 2, 29, 467. Prime factorization of 27086 in exponential form is:

27086 = 21 × 291 × 4671

Prime Factorization of 27106

Prime factors of 27106 are 2, 13553. Prime factorization of 27106 in exponential form is:

27106 = 21 × 135531

Now multiplying the highest exponent prime factors to calculate the LCM of 27086 and 27106.

LCM(27086,27106) = 21 × 291 × 4671 × 135531
LCM(27086,27106) = 367096558