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What is the Least Common Multiple of 28342 and 28352?

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 28342 and 28352 is 401776192.

LCM(28342,28352) = 401776192

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Least Common Multiple of 28342 and 28352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28342 and 28352, than apply into the LCM equation.

GCF(28342,28352) = 2
LCM(28342,28352) = ( 28342 × 28352) / 2
LCM(28342,28352) = 803552384 / 2
LCM(28342,28352) = 401776192

Least Common Multiple (LCM) of 28342 and 28352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28342 and 28352. First we will calculate the prime factors of 28342 and 28352.

Prime Factorization of 28342

Prime factors of 28342 are 2, 37, 383. Prime factorization of 28342 in exponential form is:

28342 = 21 × 371 × 3831

Prime Factorization of 28352

Prime factors of 28352 are 2, 443. Prime factorization of 28352 in exponential form is:

28352 = 26 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 28342 and 28352.

LCM(28342,28352) = 26 × 371 × 3831 × 4431
LCM(28342,28352) = 401776192