What is the Least Common Multiple of 11857 and 11873?
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 11857 and 11873 is 140778161.
LCM(11857,11873) = 140778161
Least Common Multiple of 11857 and 11873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11857 and 11873, than apply into the LCM equation.
GCF(11857,11873) = 1
LCM(11857,11873) = ( 11857 × 11873) / 1
LCM(11857,11873) = 140778161 / 1
LCM(11857,11873) = 140778161
Least Common Multiple (LCM) of 11857 and 11873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11857 and 11873. First we will calculate the prime factors of 11857 and 11873.
Prime Factorization of 11857
Prime factors of 11857 are 71, 167. Prime factorization of 11857 in exponential form is:
11857 = 711 × 1671
Prime Factorization of 11873
Prime factors of 11873 are 31, 383. Prime factorization of 11873 in exponential form is:
11873 = 311 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 11857 and 11873.
LCM(11857,11873) = 711 × 1671 × 311 × 3831
LCM(11857,11873) = 140778161
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