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What is the Least Common Multiple of 29773 and 29785?

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 29773 and 29785 is 886788805.

LCM(29773,29785) = 886788805

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Least Common Multiple of 29773 and 29785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29773 and 29785, than apply into the LCM equation.

GCF(29773,29785) = 1
LCM(29773,29785) = ( 29773 × 29785) / 1
LCM(29773,29785) = 886788805 / 1
LCM(29773,29785) = 886788805

Least Common Multiple (LCM) of 29773 and 29785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29773 and 29785. First we will calculate the prime factors of 29773 and 29785.

Prime Factorization of 29773

Prime factors of 29773 are 19, 1567. Prime factorization of 29773 in exponential form is:

29773 = 191 × 15671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 29773 and 29785.

LCM(29773,29785) = 191 × 15671 × 51 × 71 × 231 × 371
LCM(29773,29785) = 886788805