What is the Least Common Multiple of 52839 and 52859?
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 52839 and 52859 is 2793016701.
LCM(52839,52859) = 2793016701
Least Common Multiple of 52839 and 52859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52839 and 52859, than apply into the LCM equation.
GCF(52839,52859) = 1
LCM(52839,52859) = ( 52839 × 52859) / 1
LCM(52839,52859) = 2793016701 / 1
LCM(52839,52859) = 2793016701
Least Common Multiple (LCM) of 52839 and 52859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52839 and 52859. First we will calculate the prime factors of 52839 and 52859.
Prime Factorization of 52839
Prime factors of 52839 are 3, 19, 103. Prime factorization of 52839 in exponential form is:
52839 = 33 × 191 × 1031
Prime Factorization of 52859
Prime factors of 52859 are 52859. Prime factorization of 52859 in exponential form is:
52859 = 528591
Now multiplying the highest exponent prime factors to calculate the LCM of 52839 and 52859.
LCM(52839,52859) = 33 × 191 × 1031 × 528591
LCM(52839,52859) = 2793016701
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