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What is the Least Common Multiple of 28881 and 28894?

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 28881 and 28894 is 834487614.

LCM(28881,28894) = 834487614

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Least Common Multiple of 28881 and 28894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28881 and 28894, than apply into the LCM equation.

GCF(28881,28894) = 1
LCM(28881,28894) = ( 28881 × 28894) / 1
LCM(28881,28894) = 834487614 / 1
LCM(28881,28894) = 834487614

Least Common Multiple (LCM) of 28881 and 28894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28881 and 28894. First we will calculate the prime factors of 28881 and 28894.

Prime Factorization of 28881

Prime factors of 28881 are 3, 3209. Prime factorization of 28881 in exponential form is:

28881 = 32 × 32091

Prime Factorization of 28894

Prime factors of 28894 are 2, 14447. Prime factorization of 28894 in exponential form is:

28894 = 21 × 144471

Now multiplying the highest exponent prime factors to calculate the LCM of 28881 and 28894.

LCM(28881,28894) = 32 × 32091 × 21 × 144471
LCM(28881,28894) = 834487614