What is the Least Common Multiple of 99589 and 99593?
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 99589 and 99593 is 9918367277.
LCM(99589,99593) = 9918367277
Least Common Multiple of 99589 and 99593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99589 and 99593, than apply into the LCM equation.
GCF(99589,99593) = 1
LCM(99589,99593) = ( 99589 × 99593) / 1
LCM(99589,99593) = 9918367277 / 1
LCM(99589,99593) = 9918367277
Least Common Multiple (LCM) of 99589 and 99593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99589 and 99593. First we will calculate the prime factors of 99589 and 99593.
Prime Factorization of 99589
Prime factors of 99589 are 7, 41, 347. Prime factorization of 99589 in exponential form is:
99589 = 71 × 411 × 3471
Prime Factorization of 99593
Prime factors of 99593 are 13, 47, 163. Prime factorization of 99593 in exponential form is:
99593 = 131 × 471 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 99589 and 99593.
LCM(99589,99593) = 71 × 411 × 3471 × 131 × 471 × 1631
LCM(99589,99593) = 9918367277
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