What is the Least Common Multiple of 857 and 866?
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 866 is 742162.
LCM(857,866) = 742162
Least Common Multiple of 857 and 866 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 866, than apply into the LCM equation.
GCF(857,866) = 1
LCM(857,866) = ( 857 × 866) / 1
LCM(857,866) = 742162 / 1
LCM(857,866) = 742162
Least Common Multiple (LCM) of 857 and 866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 866. First we will calculate the prime factors of 857 and 866.
Prime Factorization of 857
Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:
857 = 8571
Prime Factorization of 866
Prime factors of 866 are 2, 433. Prime factorization of 866 in exponential form is:
866 = 21 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 866.
LCM(857,866) = 8571 × 21 × 4331
LCM(857,866) = 742162
Related Least Common Multiples of 857
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Related Least Common Multiples of 866
- LCM of 866 and 870
- LCM of 866 and 871
- LCM of 866 and 872
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