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What is the Least Common Multiple of 28168 and 28183?

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 28183 is 793858744.

LCM(28168,28183) = 793858744

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Least Common Multiple of 28168 and 28183 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 28183, than apply into the LCM equation.

GCF(28168,28183) = 1
LCM(28168,28183) = ( 28168 × 28183) / 1
LCM(28168,28183) = 793858744 / 1
LCM(28168,28183) = 793858744

Least Common Multiple (LCM) of 28168 and 28183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28168 and 28183. First we will calculate the prime factors of 28168 and 28183.

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 28183

Prime factors of 28183 are 28183. Prime factorization of 28183 in exponential form is:

28183 = 281831

Now multiplying the highest exponent prime factors to calculate the LCM of 28168 and 28183.

LCM(28168,28183) = 23 × 71 × 5031 × 281831
LCM(28168,28183) = 793858744