What is the Least Common Multiple of 20833 and 20843?
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 20833 and 20843 is 434222219.
LCM(20833,20843) = 434222219
Least Common Multiple of 20833 and 20843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20833 and 20843, than apply into the LCM equation.
GCF(20833,20843) = 1
LCM(20833,20843) = ( 20833 × 20843) / 1
LCM(20833,20843) = 434222219 / 1
LCM(20833,20843) = 434222219
Least Common Multiple (LCM) of 20833 and 20843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20833 and 20843. First we will calculate the prime factors of 20833 and 20843.
Prime Factorization of 20833
Prime factors of 20833 are 83, 251. Prime factorization of 20833 in exponential form is:
20833 = 831 × 2511
Prime Factorization of 20843
Prime factors of 20843 are 19, 1097. Prime factorization of 20843 in exponential form is:
20843 = 191 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 20833 and 20843.
LCM(20833,20843) = 831 × 2511 × 191 × 10971
LCM(20833,20843) = 434222219
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