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What is the Least Common Multiple of 28867 and 28885?

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 28867 and 28885 is 833823295.

LCM(28867,28885) = 833823295

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Least Common Multiple of 28867 and 28885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28867 and 28885, than apply into the LCM equation.

GCF(28867,28885) = 1
LCM(28867,28885) = ( 28867 × 28885) / 1
LCM(28867,28885) = 833823295 / 1
LCM(28867,28885) = 833823295

Least Common Multiple (LCM) of 28867 and 28885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28867 and 28885. First we will calculate the prime factors of 28867 and 28885.

Prime Factorization of 28867

Prime factors of 28867 are 28867. Prime factorization of 28867 in exponential form is:

28867 = 288671

Prime Factorization of 28885

Prime factors of 28885 are 5, 53, 109. Prime factorization of 28885 in exponential form is:

28885 = 51 × 531 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 28867 and 28885.

LCM(28867,28885) = 288671 × 51 × 531 × 1091
LCM(28867,28885) = 833823295