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What is the Least Common Multiple of 28197 and 28208?

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 28197 and 28208 is 795380976.

LCM(28197,28208) = 795380976

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Least Common Multiple of 28197 and 28208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28197 and 28208, than apply into the LCM equation.

GCF(28197,28208) = 1
LCM(28197,28208) = ( 28197 × 28208) / 1
LCM(28197,28208) = 795380976 / 1
LCM(28197,28208) = 795380976

Least Common Multiple (LCM) of 28197 and 28208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28197 and 28208. First we will calculate the prime factors of 28197 and 28208.

Prime Factorization of 28197

Prime factors of 28197 are 3, 13, 241. Prime factorization of 28197 in exponential form is:

28197 = 32 × 131 × 2411

Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 24 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 28197 and 28208.

LCM(28197,28208) = 32 × 131 × 2411 × 24 × 411 × 431
LCM(28197,28208) = 795380976