What is the Least Common Multiple of 20842 and 20849?
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 20842 and 20849 is 434534858.
LCM(20842,20849) = 434534858
Least Common Multiple of 20842 and 20849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20842 and 20849, than apply into the LCM equation.
GCF(20842,20849) = 1
LCM(20842,20849) = ( 20842 × 20849) / 1
LCM(20842,20849) = 434534858 / 1
LCM(20842,20849) = 434534858
Least Common Multiple (LCM) of 20842 and 20849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20842 and 20849. First we will calculate the prime factors of 20842 and 20849.
Prime Factorization of 20842
Prime factors of 20842 are 2, 17, 613. Prime factorization of 20842 in exponential form is:
20842 = 21 × 171 × 6131
Prime Factorization of 20849
Prime factors of 20849 are 20849. Prime factorization of 20849 in exponential form is:
20849 = 208491
Now multiplying the highest exponent prime factors to calculate the LCM of 20842 and 20849.
LCM(20842,20849) = 21 × 171 × 6131 × 208491
LCM(20842,20849) = 434534858
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