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What is the Least Common Multiple of 4199 and 4204?

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 4199 and 4204 is 17652596.

LCM(4199,4204) = 17652596

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Least Common Multiple of 4199 and 4204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4199 and 4204, than apply into the LCM equation.

GCF(4199,4204) = 1
LCM(4199,4204) = ( 4199 × 4204) / 1
LCM(4199,4204) = 17652596 / 1
LCM(4199,4204) = 17652596

Least Common Multiple (LCM) of 4199 and 4204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4199 and 4204. First we will calculate the prime factors of 4199 and 4204.

Prime Factorization of 4199

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

4199 = 131 × 171 × 191

Prime Factorization of 4204

Prime factors of 4204 are 2, 1051. Prime factorization of 4204 in exponential form is:

4204 = 22 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 4199 and 4204.

LCM(4199,4204) = 131 × 171 × 191 × 22 × 10511
LCM(4199,4204) = 17652596