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What is the Least Common Multiple of 28231 and 28246?

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 28231 and 28246 is 797412826.

LCM(28231,28246) = 797412826

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Least Common Multiple of 28231 and 28246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28231 and 28246, than apply into the LCM equation.

GCF(28231,28246) = 1
LCM(28231,28246) = ( 28231 × 28246) / 1
LCM(28231,28246) = 797412826 / 1
LCM(28231,28246) = 797412826

Least Common Multiple (LCM) of 28231 and 28246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28231 and 28246. First we will calculate the prime factors of 28231 and 28246.

Prime Factorization of 28231

Prime factors of 28231 are 7, 37, 109. Prime factorization of 28231 in exponential form is:

28231 = 71 × 371 × 1091

Prime Factorization of 28246

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

28246 = 21 × 291 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 28231 and 28246.

LCM(28231,28246) = 71 × 371 × 1091 × 21 × 291 × 4871
LCM(28231,28246) = 797412826