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What is the Least Common Multiple of 29867 and 29885?

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 29867 and 29885 is 892575295.

LCM(29867,29885) = 892575295

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Least Common Multiple of 29867 and 29885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29867 and 29885, than apply into the LCM equation.

GCF(29867,29885) = 1
LCM(29867,29885) = ( 29867 × 29885) / 1
LCM(29867,29885) = 892575295 / 1
LCM(29867,29885) = 892575295

Least Common Multiple (LCM) of 29867 and 29885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29867 and 29885. First we will calculate the prime factors of 29867 and 29885.

Prime Factorization of 29867

Prime factors of 29867 are 29867. Prime factorization of 29867 in exponential form is:

29867 = 298671

Prime Factorization of 29885

Prime factors of 29885 are 5, 43, 139. Prime factorization of 29885 in exponential form is:

29885 = 51 × 431 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 29867 and 29885.

LCM(29867,29885) = 298671 × 51 × 431 × 1391
LCM(29867,29885) = 892575295