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What is the Least Common Multiple of 11886 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 11886 and 11890 is 70662270.

LCM(11886,11890) = 70662270

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Least Common Multiple of 11886 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 11886 and 11890, than apply into the LCM equation.

GCF(11886,11890) = 2
LCM(11886,11890) = ( 11886 × 11890) / 2
LCM(11886,11890) = 141324540 / 2
LCM(11886,11890) = 70662270

Least Common Multiple (LCM) of 11886 and 11890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11886 and 11890. First we will calculate the prime factors of 11886 and 11890.

Prime Factorization of 11886

Prime factors of 11886 are 2, 3, 7, 283. Prime factorization of 11886 in exponential form is:

11886 = 21 × 31 × 71 × 2831

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 11886 and 11890.

LCM(11886,11890) = 21 × 31 × 71 × 2831 × 51 × 291 × 411
LCM(11886,11890) = 70662270