What is the Least Common Multiple of 83803 and 83807?
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 83803 and 83807 is 7023278021.
LCM(83803,83807) = 7023278021
Least Common Multiple of 83803 and 83807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83803 and 83807, than apply into the LCM equation.
GCF(83803,83807) = 1
LCM(83803,83807) = ( 83803 × 83807) / 1
LCM(83803,83807) = 7023278021 / 1
LCM(83803,83807) = 7023278021
Least Common Multiple (LCM) of 83803 and 83807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83803 and 83807. First we will calculate the prime factors of 83803 and 83807.
Prime Factorization of 83803
Prime factors of 83803 are 181, 463. Prime factorization of 83803 in exponential form is:
83803 = 1811 × 4631
Prime Factorization of 83807
Prime factors of 83807 are 43, 1949. Prime factorization of 83807 in exponential form is:
83807 = 431 × 19491
Now multiplying the highest exponent prime factors to calculate the LCM of 83803 and 83807.
LCM(83803,83807) = 1811 × 4631 × 431 × 19491
LCM(83803,83807) = 7023278021
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