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What is the Least Common Multiple of 27147 and 27166?

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 27147 and 27166 is 737475402.

LCM(27147,27166) = 737475402

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Least Common Multiple of 27147 and 27166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27147 and 27166, than apply into the LCM equation.

GCF(27147,27166) = 1
LCM(27147,27166) = ( 27147 × 27166) / 1
LCM(27147,27166) = 737475402 / 1
LCM(27147,27166) = 737475402

Least Common Multiple (LCM) of 27147 and 27166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27147 and 27166. First we will calculate the prime factors of 27147 and 27166.

Prime Factorization of 27147

Prime factors of 27147 are 3, 9049. Prime factorization of 27147 in exponential form is:

27147 = 31 × 90491

Prime Factorization of 27166

Prime factors of 27166 are 2, 17, 47. Prime factorization of 27166 in exponential form is:

27166 = 21 × 172 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 27147 and 27166.

LCM(27147,27166) = 31 × 90491 × 21 × 172 × 471
LCM(27147,27166) = 737475402