What is the Least Common Multiple of 857 and 867?
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 857 and 867 is 743019.
LCM(857,867) = 743019
Least Common Multiple of 857 and 867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 857 and 867, than apply into the LCM equation.
GCF(857,867) = 1
LCM(857,867) = ( 857 × 867) / 1
LCM(857,867) = 743019 / 1
LCM(857,867) = 743019
Least Common Multiple (LCM) of 857 and 867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 867. First we will calculate the prime factors of 857 and 867.
Prime Factorization of 857
Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:
857 = 8571
Prime Factorization of 867
Prime factors of 867 are 3, 17. Prime factorization of 867 in exponential form is:
867 = 31 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 867.
LCM(857,867) = 8571 × 31 × 172
LCM(857,867) = 743019
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