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What is the Least Common Multiple of 4147 and 4161?

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 4147 and 4161 is 17255667.

LCM(4147,4161) = 17255667

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Least Common Multiple of 4147 and 4161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4147 and 4161, than apply into the LCM equation.

GCF(4147,4161) = 1
LCM(4147,4161) = ( 4147 × 4161) / 1
LCM(4147,4161) = 17255667 / 1
LCM(4147,4161) = 17255667

Least Common Multiple (LCM) of 4147 and 4161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4147 and 4161. First we will calculate the prime factors of 4147 and 4161.

Prime Factorization of 4147

Prime factors of 4147 are 11, 13, 29. Prime factorization of 4147 in exponential form is:

4147 = 111 × 131 × 291

Prime Factorization of 4161

Prime factors of 4161 are 3, 19, 73. Prime factorization of 4161 in exponential form is:

4161 = 31 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4147 and 4161.

LCM(4147,4161) = 111 × 131 × 291 × 31 × 191 × 731
LCM(4147,4161) = 17255667