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What is the Least Common Multiple of 4169 and 4173?

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 4169 and 4173 is 17397237.

LCM(4169,4173) = 17397237

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Least Common Multiple of 4169 and 4173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4169 and 4173, than apply into the LCM equation.

GCF(4169,4173) = 1
LCM(4169,4173) = ( 4169 × 4173) / 1
LCM(4169,4173) = 17397237 / 1
LCM(4169,4173) = 17397237

Least Common Multiple (LCM) of 4169 and 4173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4169 and 4173. First we will calculate the prime factors of 4169 and 4173.

Prime Factorization of 4169

Prime factors of 4169 are 11, 379. Prime factorization of 4169 in exponential form is:

4169 = 111 × 3791

Prime Factorization of 4173

Prime factors of 4173 are 3, 13, 107. Prime factorization of 4173 in exponential form is:

4173 = 31 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4169 and 4173.

LCM(4169,4173) = 111 × 3791 × 31 × 131 × 1071
LCM(4169,4173) = 17397237