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What is the Least Common Multiple of 28159 and 28165?

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 28159 and 28165 is 793098235.

LCM(28159,28165) = 793098235

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Least Common Multiple of 28159 and 28165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28159 and 28165, than apply into the LCM equation.

GCF(28159,28165) = 1
LCM(28159,28165) = ( 28159 × 28165) / 1
LCM(28159,28165) = 793098235 / 1
LCM(28159,28165) = 793098235

Least Common Multiple (LCM) of 28159 and 28165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28159 and 28165. First we will calculate the prime factors of 28159 and 28165.

Prime Factorization of 28159

Prime factors of 28159 are 29, 971. Prime factorization of 28159 in exponential form is:

28159 = 291 × 9711

Prime Factorization of 28165

Prime factors of 28165 are 5, 43, 131. Prime factorization of 28165 in exponential form is:

28165 = 51 × 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 28159 and 28165.

LCM(28159,28165) = 291 × 9711 × 51 × 431 × 1311
LCM(28159,28165) = 793098235