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What is the Least Common Multiple of 28878 and 28883?

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 28878 and 28883 is 834083274.

LCM(28878,28883) = 834083274

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Least Common Multiple of 28878 and 28883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28878 and 28883, than apply into the LCM equation.

GCF(28878,28883) = 1
LCM(28878,28883) = ( 28878 × 28883) / 1
LCM(28878,28883) = 834083274 / 1
LCM(28878,28883) = 834083274

Least Common Multiple (LCM) of 28878 and 28883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28878 and 28883. First we will calculate the prime factors of 28878 and 28883.

Prime Factorization of 28878

Prime factors of 28878 are 2, 3, 4813. Prime factorization of 28878 in exponential form is:

28878 = 21 × 31 × 48131

Prime Factorization of 28883

Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:

28883 = 171 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 28878 and 28883.

LCM(28878,28883) = 21 × 31 × 48131 × 171 × 16991
LCM(28878,28883) = 834083274