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What is the Least Common Multiple of 29585 and 29593?

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 29585 and 29593 is 875508905.

LCM(29585,29593) = 875508905

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Least Common Multiple of 29585 and 29593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29585 and 29593, than apply into the LCM equation.

GCF(29585,29593) = 1
LCM(29585,29593) = ( 29585 × 29593) / 1
LCM(29585,29593) = 875508905 / 1
LCM(29585,29593) = 875508905

Least Common Multiple (LCM) of 29585 and 29593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29585 and 29593. First we will calculate the prime factors of 29585 and 29593.

Prime Factorization of 29585

Prime factors of 29585 are 5, 61, 97. Prime factorization of 29585 in exponential form is:

29585 = 51 × 611 × 971

Prime Factorization of 29593

Prime factors of 29593 are 101, 293. Prime factorization of 29593 in exponential form is:

29593 = 1011 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 29585 and 29593.

LCM(29585,29593) = 51 × 611 × 971 × 1011 × 2931
LCM(29585,29593) = 875508905