What is the Least Common Multiple of 56834 and 56843?
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 56834 and 56843 is 3230615062.
LCM(56834,56843) = 3230615062
Least Common Multiple of 56834 and 56843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56834 and 56843, than apply into the LCM equation.
GCF(56834,56843) = 1
LCM(56834,56843) = ( 56834 × 56843) / 1
LCM(56834,56843) = 3230615062 / 1
LCM(56834,56843) = 3230615062
Least Common Multiple (LCM) of 56834 and 56843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56834 and 56843. First we will calculate the prime factors of 56834 and 56843.
Prime Factorization of 56834
Prime factors of 56834 are 2, 157, 181. Prime factorization of 56834 in exponential form is:
56834 = 21 × 1571 × 1811
Prime Factorization of 56843
Prime factors of 56843 are 56843. Prime factorization of 56843 in exponential form is:
56843 = 568431
Now multiplying the highest exponent prime factors to calculate the LCM of 56834 and 56843.
LCM(56834,56843) = 21 × 1571 × 1811 × 568431
LCM(56834,56843) = 3230615062
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