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What is the Least Common Multiple of 28241 and 28248?

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 28241 and 28248 is 797751768.

LCM(28241,28248) = 797751768

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Least Common Multiple of 28241 and 28248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28241 and 28248, than apply into the LCM equation.

GCF(28241,28248) = 1
LCM(28241,28248) = ( 28241 × 28248) / 1
LCM(28241,28248) = 797751768 / 1
LCM(28241,28248) = 797751768

Least Common Multiple (LCM) of 28241 and 28248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28241 and 28248. First we will calculate the prime factors of 28241 and 28248.

Prime Factorization of 28241

Prime factors of 28241 are 31, 911. Prime factorization of 28241 in exponential form is:

28241 = 311 × 9111

Prime Factorization of 28248

Prime factors of 28248 are 2, 3, 11, 107. Prime factorization of 28248 in exponential form is:

28248 = 23 × 31 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 28241 and 28248.

LCM(28241,28248) = 311 × 9111 × 23 × 31 × 111 × 1071
LCM(28241,28248) = 797751768