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What is the Least Common Multiple of 29779 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 29779 and 29785 is 886967515.

LCM(29779,29785) = 886967515

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Least Common Multiple of 29779 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 29779 and 29785, than apply into the LCM equation.

GCF(29779,29785) = 1
LCM(29779,29785) = ( 29779 × 29785) / 1
LCM(29779,29785) = 886967515 / 1
LCM(29779,29785) = 886967515

Least Common Multiple (LCM) of 29779 and 29785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29779 and 29785. First we will calculate the prime factors of 29779 and 29785.

Prime Factorization of 29779

Prime factors of 29779 are 97, 307. Prime factorization of 29779 in exponential form is:

29779 = 971 × 3071

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 29779 and 29785.

LCM(29779,29785) = 971 × 3071 × 51 × 71 × 231 × 371
LCM(29779,29785) = 886967515