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What is the Least Common Multiple of 28166 and 28170?

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 28166 and 28170 is 396718110.

LCM(28166,28170) = 396718110

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Least Common Multiple of 28166 and 28170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28166 and 28170, than apply into the LCM equation.

GCF(28166,28170) = 2
LCM(28166,28170) = ( 28166 × 28170) / 2
LCM(28166,28170) = 793436220 / 2
LCM(28166,28170) = 396718110

Least Common Multiple (LCM) of 28166 and 28170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28166 and 28170. First we will calculate the prime factors of 28166 and 28170.

Prime Factorization of 28166

Prime factors of 28166 are 2, 14083. Prime factorization of 28166 in exponential form is:

28166 = 21 × 140831

Prime Factorization of 28170

Prime factors of 28170 are 2, 3, 5, 313. Prime factorization of 28170 in exponential form is:

28170 = 21 × 32 × 51 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 28166 and 28170.

LCM(28166,28170) = 21 × 140831 × 32 × 51 × 3131
LCM(28166,28170) = 396718110