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What is the Least Common Multiple of 11883 and 11890?

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 11883 and 11890 is 141288870.

LCM(11883,11890) = 141288870

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Least Common Multiple of 11883 and 11890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11883 and 11890, than apply into the LCM equation.

GCF(11883,11890) = 1
LCM(11883,11890) = ( 11883 × 11890) / 1
LCM(11883,11890) = 141288870 / 1
LCM(11883,11890) = 141288870

Least Common Multiple (LCM) of 11883 and 11890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11883 and 11890. First we will calculate the prime factors of 11883 and 11890.

Prime Factorization of 11883

Prime factors of 11883 are 3, 17, 233. Prime factorization of 11883 in exponential form is:

11883 = 31 × 171 × 2331

Prime Factorization of 11890

Prime factors of 11890 are 2, 5, 29, 41. Prime factorization of 11890 in exponential form is:

11890 = 21 × 51 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 11883 and 11890.

LCM(11883,11890) = 31 × 171 × 2331 × 21 × 51 × 291 × 411
LCM(11883,11890) = 141288870