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What is the Least Common Multiple of 4192 and 4199?

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 4192 and 4199 is 17602208.

LCM(4192,4199) = 17602208

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Least Common Multiple of 4192 and 4199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4192 and 4199, than apply into the LCM equation.

GCF(4192,4199) = 1
LCM(4192,4199) = ( 4192 × 4199) / 1
LCM(4192,4199) = 17602208 / 1
LCM(4192,4199) = 17602208

Least Common Multiple (LCM) of 4192 and 4199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4192 and 4199. First we will calculate the prime factors of 4192 and 4199.

Prime Factorization of 4192

Prime factors of 4192 are 2, 131. Prime factorization of 4192 in exponential form is:

4192 = 25 × 1311

Prime Factorization of 4199

Prime factors of 4199 are 13, 17, 19. Prime factorization of 4199 in exponential form is:

4199 = 131 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4192 and 4199.

LCM(4192,4199) = 25 × 1311 × 131 × 171 × 191
LCM(4192,4199) = 17602208