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What is the Least Common Multiple of 29785 and 29793?

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 29793 is 887384505.

LCM(29785,29793) = 887384505

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Least Common Multiple of 29785 and 29793 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 29793, than apply into the LCM equation.

GCF(29785,29793) = 1
LCM(29785,29793) = ( 29785 × 29793) / 1
LCM(29785,29793) = 887384505 / 1
LCM(29785,29793) = 887384505

Least Common Multiple (LCM) of 29785 and 29793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29785 and 29793. First we will calculate the prime factors of 29785 and 29793.

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 29793

Prime factors of 29793 are 3, 9931. Prime factorization of 29793 in exponential form is:

29793 = 31 × 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 29785 and 29793.

LCM(29785,29793) = 51 × 71 × 231 × 371 × 31 × 99311
LCM(29785,29793) = 887384505