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What is the Least Common Multiple of 28174 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 28174 and 28183 is 794027842.

LCM(28174,28183) = 794027842

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Least Common Multiple of 28174 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 28174 and 28183, than apply into the LCM equation.

GCF(28174,28183) = 1
LCM(28174,28183) = ( 28174 × 28183) / 1
LCM(28174,28183) = 794027842 / 1
LCM(28174,28183) = 794027842

Least Common Multiple (LCM) of 28174 and 28183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28174 and 28183. First we will calculate the prime factors of 28174 and 28183.

Prime Factorization of 28174

Prime factors of 28174 are 2, 14087. Prime factorization of 28174 in exponential form is:

28174 = 21 × 140871

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 28174 and 28183.

LCM(28174,28183) = 21 × 140871 × 281831
LCM(28174,28183) = 794027842