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What is the Least Common Multiple of 28597 and 28602?

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 28597 and 28602 is 817931394.

LCM(28597,28602) = 817931394

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Least Common Multiple of 28597 and 28602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28597 and 28602, than apply into the LCM equation.

GCF(28597,28602) = 1
LCM(28597,28602) = ( 28597 × 28602) / 1
LCM(28597,28602) = 817931394 / 1
LCM(28597,28602) = 817931394

Least Common Multiple (LCM) of 28597 and 28602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28597 and 28602. First we will calculate the prime factors of 28597 and 28602.

Prime Factorization of 28597

Prime factors of 28597 are 28597. Prime factorization of 28597 in exponential form is:

28597 = 285971

Prime Factorization of 28602

Prime factors of 28602 are 2, 3, 7, 227. Prime factorization of 28602 in exponential form is:

28602 = 21 × 32 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 28597 and 28602.

LCM(28597,28602) = 285971 × 21 × 32 × 71 × 2271
LCM(28597,28602) = 817931394