What is the Least Common Multiple of 83807 and 83811?
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 83807 and 83811 is 7023948477.
LCM(83807,83811) = 7023948477
Least Common Multiple of 83807 and 83811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83807 and 83811, than apply into the LCM equation.
GCF(83807,83811) = 1
LCM(83807,83811) = ( 83807 × 83811) / 1
LCM(83807,83811) = 7023948477 / 1
LCM(83807,83811) = 7023948477
Least Common Multiple (LCM) of 83807 and 83811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83807 and 83811. First we will calculate the prime factors of 83807 and 83811.
Prime Factorization of 83807
Prime factors of 83807 are 43, 1949. Prime factorization of 83807 in exponential form is:
83807 = 431 × 19491
Prime Factorization of 83811
Prime factors of 83811 are 3, 7, 13, 307. Prime factorization of 83811 in exponential form is:
83811 = 31 × 71 × 131 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 83807 and 83811.
LCM(83807,83811) = 431 × 19491 × 31 × 71 × 131 × 3071
LCM(83807,83811) = 7023948477
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