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What is the Least Common Multiple of 29785 and 29789?

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 29785 and 29789 is 887265365.

LCM(29785,29789) = 887265365

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Least Common Multiple of 29785 and 29789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29785 and 29789, than apply into the LCM equation.

GCF(29785,29789) = 1
LCM(29785,29789) = ( 29785 × 29789) / 1
LCM(29785,29789) = 887265365 / 1
LCM(29785,29789) = 887265365

Least Common Multiple (LCM) of 29785 and 29789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29785 and 29789. First we will calculate the prime factors of 29785 and 29789.

Prime Factorization of 29785

Prime factors of 29785 are 5, 7, 23, 37. Prime factorization of 29785 in exponential form is:

29785 = 51 × 71 × 231 × 371

Prime Factorization of 29789

Prime factors of 29789 are 29789. Prime factorization of 29789 in exponential form is:

29789 = 297891

Now multiplying the highest exponent prime factors to calculate the LCM of 29785 and 29789.

LCM(29785,29789) = 51 × 71 × 231 × 371 × 297891
LCM(29785,29789) = 887265365