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What is the Least Common Multiple of 11803 and 11823?

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 11823 is 139546869.

LCM(11803,11823) = 139546869

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Least Common Multiple of 11803 and 11823 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 11823, than apply into the LCM equation.

GCF(11803,11823) = 1
LCM(11803,11823) = ( 11803 × 11823) / 1
LCM(11803,11823) = 139546869 / 1
LCM(11803,11823) = 139546869

Least Common Multiple (LCM) of 11803 and 11823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11803 and 11823. First we will calculate the prime factors of 11803 and 11823.

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 11823

Prime factors of 11823 are 3, 7, 563. Prime factorization of 11823 in exponential form is:

11823 = 31 × 71 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 11803 and 11823.

LCM(11803,11823) = 111 × 291 × 371 × 31 × 71 × 5631
LCM(11803,11823) = 139546869