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What is the Least Common Multiple of 27466 and 27482?

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 27466 and 27482 is 377410306.

LCM(27466,27482) = 377410306

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Least Common Multiple of 27466 and 27482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27466 and 27482, than apply into the LCM equation.

GCF(27466,27482) = 2
LCM(27466,27482) = ( 27466 × 27482) / 2
LCM(27466,27482) = 754820612 / 2
LCM(27466,27482) = 377410306

Least Common Multiple (LCM) of 27466 and 27482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27466 and 27482. First we will calculate the prime factors of 27466 and 27482.

Prime Factorization of 27466

Prime factors of 27466 are 2, 31, 443. Prime factorization of 27466 in exponential form is:

27466 = 21 × 311 × 4431

Prime Factorization of 27482

Prime factors of 27482 are 2, 7, 13, 151. Prime factorization of 27482 in exponential form is:

27482 = 21 × 71 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 27466 and 27482.

LCM(27466,27482) = 21 × 311 × 4431 × 71 × 131 × 1511
LCM(27466,27482) = 377410306