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What is the Least Common Multiple of 28216 and 28228?

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 28216 and 28228 is 199120312.

LCM(28216,28228) = 199120312

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Least Common Multiple of 28216 and 28228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28216 and 28228, than apply into the LCM equation.

GCF(28216,28228) = 4
LCM(28216,28228) = ( 28216 × 28228) / 4
LCM(28216,28228) = 796481248 / 4
LCM(28216,28228) = 199120312

Least Common Multiple (LCM) of 28216 and 28228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28216 and 28228. First we will calculate the prime factors of 28216 and 28228.

Prime Factorization of 28216

Prime factors of 28216 are 2, 3527. Prime factorization of 28216 in exponential form is:

28216 = 23 × 35271

Prime Factorization of 28228

Prime factors of 28228 are 2, 7057. Prime factorization of 28228 in exponential form is:

28228 = 22 × 70571

Now multiplying the highest exponent prime factors to calculate the LCM of 28216 and 28228.

LCM(28216,28228) = 23 × 35271 × 70571
LCM(28216,28228) = 199120312