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What is the Least Common Multiple of 4169 and 4186?

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 4186 is 17451434.

LCM(4169,4186) = 17451434

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Least Common Multiple of 4169 and 4186 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 4186, than apply into the LCM equation.

GCF(4169,4186) = 1
LCM(4169,4186) = ( 4169 × 4186) / 1
LCM(4169,4186) = 17451434 / 1
LCM(4169,4186) = 17451434

Least Common Multiple (LCM) of 4169 and 4186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4169 and 4186. First we will calculate the prime factors of 4169 and 4186.

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 4186

Prime factors of 4186 are 2, 7, 13, 23. Prime factorization of 4186 in exponential form is:

4186 = 21 × 71 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4169 and 4186.

LCM(4169,4186) = 111 × 3791 × 21 × 71 × 131 × 231
LCM(4169,4186) = 17451434