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What is the Least Common Multiple of 4165 and 4183?

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 4165 and 4183 is 17422195.

LCM(4165,4183) = 17422195

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Least Common Multiple of 4165 and 4183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4165 and 4183, than apply into the LCM equation.

GCF(4165,4183) = 1
LCM(4165,4183) = ( 4165 × 4183) / 1
LCM(4165,4183) = 17422195 / 1
LCM(4165,4183) = 17422195

Least Common Multiple (LCM) of 4165 and 4183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4165 and 4183. First we will calculate the prime factors of 4165 and 4183.

Prime Factorization of 4165

Prime factors of 4165 are 5, 7, 17. Prime factorization of 4165 in exponential form is:

4165 = 51 × 72 × 171

Prime Factorization of 4183

Prime factors of 4183 are 47, 89. Prime factorization of 4183 in exponential form is:

4183 = 471 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 4165 and 4183.

LCM(4165,4183) = 51 × 72 × 171 × 471 × 891
LCM(4165,4183) = 17422195