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What is the Least Common Multiple of 66174 and 66181?

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 66174 and 66181 is 4379461494.

LCM(66174,66181) = 4379461494

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Least Common Multiple of 66174 and 66181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66174 and 66181, than apply into the LCM equation.

GCF(66174,66181) = 1
LCM(66174,66181) = ( 66174 × 66181) / 1
LCM(66174,66181) = 4379461494 / 1
LCM(66174,66181) = 4379461494

Least Common Multiple (LCM) of 66174 and 66181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66174 and 66181. First we will calculate the prime factors of 66174 and 66181.

Prime Factorization of 66174

Prime factors of 66174 are 2, 3, 41, 269. Prime factorization of 66174 in exponential form is:

66174 = 21 × 31 × 411 × 2691

Prime Factorization of 66181

Prime factors of 66181 are 17, 229. Prime factorization of 66181 in exponential form is:

66181 = 172 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 66174 and 66181.

LCM(66174,66181) = 21 × 31 × 411 × 2691 × 172 × 2291
LCM(66174,66181) = 4379461494