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What is the Least Common Multiple of 28354 and 28364?

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 28354 and 28364 is 402116428.

LCM(28354,28364) = 402116428

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Least Common Multiple of 28354 and 28364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28354 and 28364, than apply into the LCM equation.

GCF(28354,28364) = 2
LCM(28354,28364) = ( 28354 × 28364) / 2
LCM(28354,28364) = 804232856 / 2
LCM(28354,28364) = 402116428

Least Common Multiple (LCM) of 28354 and 28364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28354 and 28364. First we will calculate the prime factors of 28354 and 28364.

Prime Factorization of 28354

Prime factors of 28354 are 2, 14177. Prime factorization of 28354 in exponential form is:

28354 = 21 × 141771

Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 22 × 71 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 28354 and 28364.

LCM(28354,28364) = 22 × 141771 × 71 × 10131
LCM(28354,28364) = 402116428