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What is the Least Common Multiple of 28322 and 28330?

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 28322 and 28330 is 401181130.

LCM(28322,28330) = 401181130

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Least Common Multiple of 28322 and 28330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28322 and 28330, than apply into the LCM equation.

GCF(28322,28330) = 2
LCM(28322,28330) = ( 28322 × 28330) / 2
LCM(28322,28330) = 802362260 / 2
LCM(28322,28330) = 401181130

Least Common Multiple (LCM) of 28322 and 28330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28322 and 28330. First we will calculate the prime factors of 28322 and 28330.

Prime Factorization of 28322

Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:

28322 = 21 × 72 × 172

Prime Factorization of 28330

Prime factors of 28330 are 2, 5, 2833. Prime factorization of 28330 in exponential form is:

28330 = 21 × 51 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 28322 and 28330.

LCM(28322,28330) = 21 × 72 × 172 × 51 × 28331
LCM(28322,28330) = 401181130