What is the Least Common Multiple of 839 and 858?
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 839 and 858 is 719862.
LCM(839,858) = 719862
Least Common Multiple of 839 and 858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 839 and 858, than apply into the LCM equation.
GCF(839,858) = 1
LCM(839,858) = ( 839 × 858) / 1
LCM(839,858) = 719862 / 1
LCM(839,858) = 719862
Least Common Multiple (LCM) of 839 and 858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 858. First we will calculate the prime factors of 839 and 858.
Prime Factorization of 839
Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:
839 = 8391
Prime Factorization of 858
Prime factors of 858 are 2, 3, 11, 13. Prime factorization of 858 in exponential form is:
858 = 21 × 31 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 839 and 858.
LCM(839,858) = 8391 × 21 × 31 × 111 × 131
LCM(839,858) = 719862
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