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What is the Least Common Multiple of 28847 and 28853?

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 28847 and 28853 is 832322491.

LCM(28847,28853) = 832322491

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Least Common Multiple of 28847 and 28853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28847 and 28853, than apply into the LCM equation.

GCF(28847,28853) = 1
LCM(28847,28853) = ( 28847 × 28853) / 1
LCM(28847,28853) = 832322491 / 1
LCM(28847,28853) = 832322491

Least Common Multiple (LCM) of 28847 and 28853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28847 and 28853. First we will calculate the prime factors of 28847 and 28853.

Prime Factorization of 28847

Prime factors of 28847 are 7, 13, 317. Prime factorization of 28847 in exponential form is:

28847 = 71 × 131 × 3171

Prime Factorization of 28853

Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:

28853 = 111 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 28847 and 28853.

LCM(28847,28853) = 71 × 131 × 3171 × 111 × 431 × 611
LCM(28847,28853) = 832322491