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What is the Least Common Multiple of 28248 and 28261?

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 28248 and 28261 is 798316728.

LCM(28248,28261) = 798316728

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Least Common Multiple of 28248 and 28261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28248 and 28261, than apply into the LCM equation.

GCF(28248,28261) = 1
LCM(28248,28261) = ( 28248 × 28261) / 1
LCM(28248,28261) = 798316728 / 1
LCM(28248,28261) = 798316728

Least Common Multiple (LCM) of 28248 and 28261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28248 and 28261. First we will calculate the prime factors of 28248 and 28261.

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

Prime Factorization of 28261

Prime factors of 28261 are 59, 479. Prime factorization of 28261 in exponential form is:

28261 = 591 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 28248 and 28261.

LCM(28248,28261) = 23 × 31 × 111 × 1071 × 591 × 4791
LCM(28248,28261) = 798316728