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What is the Least Common Multiple of 11803 and 11819?

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 11803 and 11819 is 139499657.

LCM(11803,11819) = 139499657

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Least Common Multiple of 11803 and 11819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11803 and 11819, than apply into the LCM equation.

GCF(11803,11819) = 1
LCM(11803,11819) = ( 11803 × 11819) / 1
LCM(11803,11819) = 139499657 / 1
LCM(11803,11819) = 139499657

Least Common Multiple (LCM) of 11803 and 11819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11803 and 11819. First we will calculate the prime factors of 11803 and 11819.

Prime Factorization of 11803

Prime factors of 11803 are 11, 29, 37. Prime factorization of 11803 in exponential form is:

11803 = 111 × 291 × 371

Prime Factorization of 11819

Prime factors of 11819 are 53, 223. Prime factorization of 11819 in exponential form is:

11819 = 531 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 11803 and 11819.

LCM(11803,11819) = 111 × 291 × 371 × 531 × 2231
LCM(11803,11819) = 139499657