What is the Least Common Multiple of 11857 and 11863?
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 11863 is 140659591.
LCM(11857,11863) = 140659591
Least Common Multiple of 11857 and 11863 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 11863, than apply into the LCM equation.
GCF(11857,11863) = 1
LCM(11857,11863) = ( 11857 × 11863) / 1
LCM(11857,11863) = 140659591 / 1
LCM(11857,11863) = 140659591
Least Common Multiple (LCM) of 11857 and 11863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11857 and 11863. First we will calculate the prime factors of 11857 and 11863.
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 11863
Prime factors of 11863 are 11863. Prime factorization of 11863 in exponential form is:
11863 = 118631
Now multiplying the highest exponent prime factors to calculate the LCM of 11857 and 11863.
LCM(11857,11863) = 711 × 1671 × 118631
LCM(11857,11863) = 140659591
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