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What is the Least Common Multiple of 28258 and 28273?

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 28258 and 28273 is 798938434.

LCM(28258,28273) = 798938434

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Least Common Multiple of 28258 and 28273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28258 and 28273, than apply into the LCM equation.

GCF(28258,28273) = 1
LCM(28258,28273) = ( 28258 × 28273) / 1
LCM(28258,28273) = 798938434 / 1
LCM(28258,28273) = 798938434

Least Common Multiple (LCM) of 28258 and 28273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28258 and 28273. First we will calculate the prime factors of 28258 and 28273.

Prime Factorization of 28258

Prime factors of 28258 are 2, 71, 199. Prime factorization of 28258 in exponential form is:

28258 = 21 × 711 × 1991

Prime Factorization of 28273

Prime factors of 28273 are 7, 577. Prime factorization of 28273 in exponential form is:

28273 = 72 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 28258 and 28273.

LCM(28258,28273) = 21 × 711 × 1991 × 72 × 5771
LCM(28258,28273) = 798938434