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What is the Least Common Multiple of 28597 and 28610?

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 28610 is 818160170.

LCM(28597,28610) = 818160170

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Least Common Multiple of 28597 and 28610 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 28610, than apply into the LCM equation.

GCF(28597,28610) = 1
LCM(28597,28610) = ( 28597 × 28610) / 1
LCM(28597,28610) = 818160170 / 1
LCM(28597,28610) = 818160170

Least Common Multiple (LCM) of 28597 and 28610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28597 and 28610. First we will calculate the prime factors of 28597 and 28610.

Prime Factorization of 28597

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

28597 = 285971

Prime Factorization of 28610

Prime factors of 28610 are 2, 5, 2861. Prime factorization of 28610 in exponential form is:

28610 = 21 × 51 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 28597 and 28610.

LCM(28597,28610) = 285971 × 21 × 51 × 28611
LCM(28597,28610) = 818160170