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What is the Least Common Multiple of 27284 and 27290?

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 27284 and 27290 is 372290180.

LCM(27284,27290) = 372290180

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Least Common Multiple of 27284 and 27290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27284 and 27290, than apply into the LCM equation.

GCF(27284,27290) = 2
LCM(27284,27290) = ( 27284 × 27290) / 2
LCM(27284,27290) = 744580360 / 2
LCM(27284,27290) = 372290180

Least Common Multiple (LCM) of 27284 and 27290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27284 and 27290. First we will calculate the prime factors of 27284 and 27290.

Prime Factorization of 27284

Prime factors of 27284 are 2, 19, 359. Prime factorization of 27284 in exponential form is:

27284 = 22 × 191 × 3591

Prime Factorization of 27290

Prime factors of 27290 are 2, 5, 2729. Prime factorization of 27290 in exponential form is:

27290 = 21 × 51 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 27284 and 27290.

LCM(27284,27290) = 22 × 191 × 3591 × 51 × 27291
LCM(27284,27290) = 372290180