What is the Least Common Multiple of 868 and 886?
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 868 and 886 is 384524.
LCM(868,886) = 384524
Least Common Multiple of 868 and 886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 868 and 886, than apply into the LCM equation.
GCF(868,886) = 2
LCM(868,886) = ( 868 × 886) / 2
LCM(868,886) = 769048 / 2
LCM(868,886) = 384524
Least Common Multiple (LCM) of 868 and 886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 886. First we will calculate the prime factors of 868 and 886.
Prime Factorization of 868
Prime factors of 868 are 2, 7, 31. Prime factorization of 868 in exponential form is:
868 = 22 × 71 × 311
Prime Factorization of 886
Prime factors of 886 are 2, 443. Prime factorization of 886 in exponential form is:
886 = 21 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 868 and 886.
LCM(868,886) = 22 × 71 × 311 × 4431
LCM(868,886) = 384524
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