What is the Least Common Multiple of 85391 and 85396?
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 85391 and 85396 is 7292049836.
LCM(85391,85396) = 7292049836
Least Common Multiple of 85391 and 85396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85391 and 85396, than apply into the LCM equation.
GCF(85391,85396) = 1
LCM(85391,85396) = ( 85391 × 85396) / 1
LCM(85391,85396) = 7292049836 / 1
LCM(85391,85396) = 7292049836
Least Common Multiple (LCM) of 85391 and 85396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85391 and 85396. First we will calculate the prime factors of 85391 and 85396.
Prime Factorization of 85391
Prime factors of 85391 are 17, 5023. Prime factorization of 85391 in exponential form is:
85391 = 171 × 50231
Prime Factorization of 85396
Prime factors of 85396 are 2, 37, 577. Prime factorization of 85396 in exponential form is:
85396 = 22 × 371 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 85391 and 85396.
LCM(85391,85396) = 171 × 50231 × 22 × 371 × 5771
LCM(85391,85396) = 7292049836
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