What is the Least Common Multiple of 94587 and 94595?
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 94587 and 94595 is 8947457265.
LCM(94587,94595) = 8947457265
Least Common Multiple of 94587 and 94595 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94587 and 94595, than apply into the LCM equation.
GCF(94587,94595) = 1
LCM(94587,94595) = ( 94587 × 94595) / 1
LCM(94587,94595) = 8947457265 / 1
LCM(94587,94595) = 8947457265
Least Common Multiple (LCM) of 94587 and 94595 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94587 and 94595. First we will calculate the prime factors of 94587 and 94595.
Prime Factorization of 94587
Prime factors of 94587 are 3, 41, 769. Prime factorization of 94587 in exponential form is:
94587 = 31 × 411 × 7691
Prime Factorization of 94595
Prime factors of 94595 are 5, 18919. Prime factorization of 94595 in exponential form is:
94595 = 51 × 189191
Now multiplying the highest exponent prime factors to calculate the LCM of 94587 and 94595.
LCM(94587,94595) = 31 × 411 × 7691 × 51 × 189191
LCM(94587,94595) = 8947457265
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