What is the Least Common Multiple of 83865 and 83869?
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 83865 and 83869 is 7033673685.
LCM(83865,83869) = 7033673685
Least Common Multiple of 83865 and 83869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83865 and 83869, than apply into the LCM equation.
GCF(83865,83869) = 1
LCM(83865,83869) = ( 83865 × 83869) / 1
LCM(83865,83869) = 7033673685 / 1
LCM(83865,83869) = 7033673685
Least Common Multiple (LCM) of 83865 and 83869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83865 and 83869. First we will calculate the prime factors of 83865 and 83869.
Prime Factorization of 83865
Prime factors of 83865 are 3, 5, 5591. Prime factorization of 83865 in exponential form is:
83865 = 31 × 51 × 55911
Prime Factorization of 83869
Prime factors of 83869 are 83869. Prime factorization of 83869 in exponential form is:
83869 = 838691
Now multiplying the highest exponent prime factors to calculate the LCM of 83865 and 83869.
LCM(83865,83869) = 31 × 51 × 55911 × 838691
LCM(83865,83869) = 7033673685
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