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What is the Least Common Multiple of 11771 and 11790?

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 11771 and 11790 is 138780090.

LCM(11771,11790) = 138780090

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Least Common Multiple of 11771 and 11790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11771 and 11790, than apply into the LCM equation.

GCF(11771,11790) = 1
LCM(11771,11790) = ( 11771 × 11790) / 1
LCM(11771,11790) = 138780090 / 1
LCM(11771,11790) = 138780090

Least Common Multiple (LCM) of 11771 and 11790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11771 and 11790. First we will calculate the prime factors of 11771 and 11790.

Prime Factorization of 11771

Prime factors of 11771 are 79, 149. Prime factorization of 11771 in exponential form is:

11771 = 791 × 1491

Prime Factorization of 11790

Prime factors of 11790 are 2, 3, 5, 131. Prime factorization of 11790 in exponential form is:

11790 = 21 × 32 × 51 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 11771 and 11790.

LCM(11771,11790) = 791 × 1491 × 21 × 32 × 51 × 1311
LCM(11771,11790) = 138780090