What is the Least Common Multiple of 84837 and 84841?
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 84837 and 84841 is 7197655917.
LCM(84837,84841) = 7197655917
Least Common Multiple of 84837 and 84841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84837 and 84841, than apply into the LCM equation.
GCF(84837,84841) = 1
LCM(84837,84841) = ( 84837 × 84841) / 1
LCM(84837,84841) = 7197655917 / 1
LCM(84837,84841) = 7197655917
Least Common Multiple (LCM) of 84837 and 84841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84837 and 84841. First we will calculate the prime factors of 84837 and 84841.
Prime Factorization of 84837
Prime factors of 84837 are 3, 28279. Prime factorization of 84837 in exponential form is:
84837 = 31 × 282791
Prime Factorization of 84841
Prime factors of 84841 are 37, 2293. Prime factorization of 84841 in exponential form is:
84841 = 371 × 22931
Now multiplying the highest exponent prime factors to calculate the LCM of 84837 and 84841.
LCM(84837,84841) = 31 × 282791 × 371 × 22931
LCM(84837,84841) = 7197655917
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