What is the Least Common Multiple of 83822 and 83841?
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 83822 and 83841 is 7027720302.
LCM(83822,83841) = 7027720302
Least Common Multiple of 83822 and 83841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83822 and 83841, than apply into the LCM equation.
GCF(83822,83841) = 1
LCM(83822,83841) = ( 83822 × 83841) / 1
LCM(83822,83841) = 7027720302 / 1
LCM(83822,83841) = 7027720302
Least Common Multiple (LCM) of 83822 and 83841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83822 and 83841. First we will calculate the prime factors of 83822 and 83841.
Prime Factorization of 83822
Prime factors of 83822 are 2, 41911. Prime factorization of 83822 in exponential form is:
83822 = 21 × 419111
Prime Factorization of 83841
Prime factors of 83841 are 3, 27947. Prime factorization of 83841 in exponential form is:
83841 = 31 × 279471
Now multiplying the highest exponent prime factors to calculate the LCM of 83822 and 83841.
LCM(83822,83841) = 21 × 419111 × 31 × 279471
LCM(83822,83841) = 7027720302
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