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What is the Least Common Multiple of 28883 and 28898?

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 28883 and 28898 is 834660934.

LCM(28883,28898) = 834660934

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Least Common Multiple of 28883 and 28898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28883 and 28898, than apply into the LCM equation.

GCF(28883,28898) = 1
LCM(28883,28898) = ( 28883 × 28898) / 1
LCM(28883,28898) = 834660934 / 1
LCM(28883,28898) = 834660934

Least Common Multiple (LCM) of 28883 and 28898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28898. First we will calculate the prime factors of 28883 and 28898.

Prime Factorization of 28883

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

28883 = 171 × 16991

Prime Factorization of 28898

Prime factors of 28898 are 2, 14449. Prime factorization of 28898 in exponential form is:

28898 = 21 × 144491

Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28898.

LCM(28883,28898) = 171 × 16991 × 21 × 144491
LCM(28883,28898) = 834660934