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What is the Least Common Multiple of 4166 and 4184?

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 4166 and 4184 is 8715272.

LCM(4166,4184) = 8715272

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Least Common Multiple of 4166 and 4184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4166 and 4184, than apply into the LCM equation.

GCF(4166,4184) = 2
LCM(4166,4184) = ( 4166 × 4184) / 2
LCM(4166,4184) = 17430544 / 2
LCM(4166,4184) = 8715272

Least Common Multiple (LCM) of 4166 and 4184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4166 and 4184. First we will calculate the prime factors of 4166 and 4184.

Prime Factorization of 4166

Prime factors of 4166 are 2, 2083. Prime factorization of 4166 in exponential form is:

4166 = 21 × 20831

Prime Factorization of 4184

Prime factors of 4184 are 2, 523. Prime factorization of 4184 in exponential form is:

4184 = 23 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 4166 and 4184.

LCM(4166,4184) = 23 × 20831 × 5231
LCM(4166,4184) = 8715272