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What is the Least Common Multiple of 27106 and 27114?

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 27106 and 27114 is 367476042.

LCM(27106,27114) = 367476042

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Least Common Multiple of 27106 and 27114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27106 and 27114, than apply into the LCM equation.

GCF(27106,27114) = 2
LCM(27106,27114) = ( 27106 × 27114) / 2
LCM(27106,27114) = 734952084 / 2
LCM(27106,27114) = 367476042

Least Common Multiple (LCM) of 27106 and 27114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27106 and 27114. First we will calculate the prime factors of 27106 and 27114.

Prime Factorization of 27106

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

27106 = 21 × 135531

Prime Factorization of 27114

Prime factors of 27114 are 2, 3, 4519. Prime factorization of 27114 in exponential form is:

27114 = 21 × 31 × 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 27106 and 27114.

LCM(27106,27114) = 21 × 135531 × 31 × 45191
LCM(27106,27114) = 367476042