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What is the Least Common Multiple of 28156 and 28166?

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 28156 and 28166 is 396520948.

LCM(28156,28166) = 396520948

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Least Common Multiple of 28156 and 28166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28156 and 28166, than apply into the LCM equation.

GCF(28156,28166) = 2
LCM(28156,28166) = ( 28156 × 28166) / 2
LCM(28156,28166) = 793041896 / 2
LCM(28156,28166) = 396520948

Least Common Multiple (LCM) of 28156 and 28166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28156 and 28166. First we will calculate the prime factors of 28156 and 28166.

Prime Factorization of 28156

Prime factors of 28156 are 2, 7039. Prime factorization of 28156 in exponential form is:

28156 = 22 × 70391

Prime Factorization of 28166

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

28166 = 21 × 140831

Now multiplying the highest exponent prime factors to calculate the LCM of 28156 and 28166.

LCM(28156,28166) = 22 × 70391 × 140831
LCM(28156,28166) = 396520948