What is the Least Common Multiple of 92589 and 92605?
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 92589 and 92605 is 8574204345.
LCM(92589,92605) = 8574204345
Least Common Multiple of 92589 and 92605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92589 and 92605, than apply into the LCM equation.
GCF(92589,92605) = 1
LCM(92589,92605) = ( 92589 × 92605) / 1
LCM(92589,92605) = 8574204345 / 1
LCM(92589,92605) = 8574204345
Least Common Multiple (LCM) of 92589 and 92605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92589 and 92605. First we will calculate the prime factors of 92589 and 92605.
Prime Factorization of 92589
Prime factors of 92589 are 3, 7, 4409. Prime factorization of 92589 in exponential form is:
92589 = 31 × 71 × 44091
Prime Factorization of 92605
Prime factors of 92605 are 5, 18521. Prime factorization of 92605 in exponential form is:
92605 = 51 × 185211
Now multiplying the highest exponent prime factors to calculate the LCM of 92589 and 92605.
LCM(92589,92605) = 31 × 71 × 44091 × 51 × 185211
LCM(92589,92605) = 8574204345
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