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What is the Least Common Multiple of 28168 and 28177?

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 28168 and 28177 is 793689736.

LCM(28168,28177) = 793689736

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Least Common Multiple of 28168 and 28177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28168 and 28177, than apply into the LCM equation.

GCF(28168,28177) = 1
LCM(28168,28177) = ( 28168 × 28177) / 1
LCM(28168,28177) = 793689736 / 1
LCM(28168,28177) = 793689736

Least Common Multiple (LCM) of 28168 and 28177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28168 and 28177. First we will calculate the prime factors of 28168 and 28177.

Prime Factorization of 28168

Prime factors of 28168 are 2, 7, 503. Prime factorization of 28168 in exponential form is:

28168 = 23 × 71 × 5031

Prime Factorization of 28177

Prime factors of 28177 are 19, 1483. Prime factorization of 28177 in exponential form is:

28177 = 191 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 28168 and 28177.

LCM(28168,28177) = 23 × 71 × 5031 × 191 × 14831
LCM(28168,28177) = 793689736