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What is the Least Common Multiple of 28246 and 28253?

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 28246 and 28253 is 798034238.

LCM(28246,28253) = 798034238

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Least Common Multiple of 28246 and 28253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28246 and 28253, than apply into the LCM equation.

GCF(28246,28253) = 1
LCM(28246,28253) = ( 28246 × 28253) / 1
LCM(28246,28253) = 798034238 / 1
LCM(28246,28253) = 798034238

Least Common Multiple (LCM) of 28246 and 28253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28246 and 28253. First we will calculate the prime factors of 28246 and 28253.

Prime Factorization of 28246

Prime factors of 28246 are 2, 29, 487. Prime factorization of 28246 in exponential form is:

28246 = 21 × 291 × 4871

Prime Factorization of 28253

Prime factors of 28253 are 19, 1487. Prime factorization of 28253 in exponential form is:

28253 = 191 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 28246 and 28253.

LCM(28246,28253) = 21 × 291 × 4871 × 191 × 14871
LCM(28246,28253) = 798034238