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What is the Least Common Multiple of 29577 and 29583?

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 29577 and 29583 is 291658797.

LCM(29577,29583) = 291658797

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Least Common Multiple of 29577 and 29583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29577 and 29583, than apply into the LCM equation.

GCF(29577,29583) = 3
LCM(29577,29583) = ( 29577 × 29583) / 3
LCM(29577,29583) = 874976391 / 3
LCM(29577,29583) = 291658797

Least Common Multiple (LCM) of 29577 and 29583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29577 and 29583. First we will calculate the prime factors of 29577 and 29583.

Prime Factorization of 29577

Prime factors of 29577 are 3, 9859. Prime factorization of 29577 in exponential form is:

29577 = 31 × 98591

Prime Factorization of 29583

Prime factors of 29583 are 3, 19, 173. Prime factorization of 29583 in exponential form is:

29583 = 32 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 29577 and 29583.

LCM(29577,29583) = 32 × 98591 × 191 × 1731
LCM(29577,29583) = 291658797