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What is the Least Common Multiple of 28226 and 28231?

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 28226 and 28231 is 796848206.

LCM(28226,28231) = 796848206

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Least Common Multiple of 28226 and 28231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28226 and 28231, than apply into the LCM equation.

GCF(28226,28231) = 1
LCM(28226,28231) = ( 28226 × 28231) / 1
LCM(28226,28231) = 796848206 / 1
LCM(28226,28231) = 796848206

Least Common Multiple (LCM) of 28226 and 28231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28226 and 28231. First we will calculate the prime factors of 28226 and 28231.

Prime Factorization of 28226

Prime factors of 28226 are 2, 11, 1283. Prime factorization of 28226 in exponential form is:

28226 = 21 × 111 × 12831

Prime Factorization of 28231

Prime factors of 28231 are 7, 37, 109. Prime factorization of 28231 in exponential form is:

28231 = 71 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 28226 and 28231.

LCM(28226,28231) = 21 × 111 × 12831 × 71 × 371 × 1091
LCM(28226,28231) = 796848206