What is the Least Common Multiple of 80834 and 80841?
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 80834 and 80841 is 6534701394.
LCM(80834,80841) = 6534701394
Least Common Multiple of 80834 and 80841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80834 and 80841, than apply into the LCM equation.
GCF(80834,80841) = 1
LCM(80834,80841) = ( 80834 × 80841) / 1
LCM(80834,80841) = 6534701394 / 1
LCM(80834,80841) = 6534701394
Least Common Multiple (LCM) of 80834 and 80841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80834 and 80841. First we will calculate the prime factors of 80834 and 80841.
Prime Factorization of 80834
Prime factors of 80834 are 2, 13, 3109. Prime factorization of 80834 in exponential form is:
80834 = 21 × 131 × 31091
Prime Factorization of 80841
Prime factors of 80841 are 3, 26947. Prime factorization of 80841 in exponential form is:
80841 = 31 × 269471
Now multiplying the highest exponent prime factors to calculate the LCM of 80834 and 80841.
LCM(80834,80841) = 21 × 131 × 31091 × 31 × 269471
LCM(80834,80841) = 6534701394
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