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What is the Least Common Multiple of 11765 and 11781?

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 11765 and 11781 is 138603465.

LCM(11765,11781) = 138603465

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Least Common Multiple of 11765 and 11781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11765 and 11781, than apply into the LCM equation.

GCF(11765,11781) = 1
LCM(11765,11781) = ( 11765 × 11781) / 1
LCM(11765,11781) = 138603465 / 1
LCM(11765,11781) = 138603465

Least Common Multiple (LCM) of 11765 and 11781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11765 and 11781. First we will calculate the prime factors of 11765 and 11781.

Prime Factorization of 11765

Prime factors of 11765 are 5, 13, 181. Prime factorization of 11765 in exponential form is:

11765 = 51 × 131 × 1811

Prime Factorization of 11781

Prime factors of 11781 are 3, 7, 11, 17. Prime factorization of 11781 in exponential form is:

11781 = 32 × 71 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 11765 and 11781.

LCM(11765,11781) = 51 × 131 × 1811 × 32 × 71 × 111 × 171
LCM(11765,11781) = 138603465