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What is the Least Common Multiple of 4102 and 4117?

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 4102 and 4117 is 16887934.

LCM(4102,4117) = 16887934

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Least Common Multiple of 4102 and 4117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4102 and 4117, than apply into the LCM equation.

GCF(4102,4117) = 1
LCM(4102,4117) = ( 4102 × 4117) / 1
LCM(4102,4117) = 16887934 / 1
LCM(4102,4117) = 16887934

Least Common Multiple (LCM) of 4102 and 4117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4102 and 4117. First we will calculate the prime factors of 4102 and 4117.

Prime Factorization of 4102

Prime factors of 4102 are 2, 7, 293. Prime factorization of 4102 in exponential form is:

4102 = 21 × 71 × 2931

Prime Factorization of 4117

Prime factors of 4117 are 23, 179. Prime factorization of 4117 in exponential form is:

4117 = 231 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4102 and 4117.

LCM(4102,4117) = 21 × 71 × 2931 × 231 × 1791
LCM(4102,4117) = 16887934