What is the Least Common Multiple of 52859 and 52863?
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 52859 and 52863 is 2794285317.
LCM(52859,52863) = 2794285317
Least Common Multiple of 52859 and 52863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52859 and 52863, than apply into the LCM equation.
GCF(52859,52863) = 1
LCM(52859,52863) = ( 52859 × 52863) / 1
LCM(52859,52863) = 2794285317 / 1
LCM(52859,52863) = 2794285317
Least Common Multiple (LCM) of 52859 and 52863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52859 and 52863. First we will calculate the prime factors of 52859 and 52863.
Prime Factorization of 52859
Prime factors of 52859 are 52859. Prime factorization of 52859 in exponential form is:
52859 = 528591
Prime Factorization of 52863
Prime factors of 52863 are 3, 67, 263. Prime factorization of 52863 in exponential form is:
52863 = 31 × 671 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 52859 and 52863.
LCM(52859,52863) = 528591 × 31 × 671 × 2631
LCM(52859,52863) = 2794285317
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