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What is the Least Common Multiple of 28370 and 28384?

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 28370 and 28384 is 402627040.

LCM(28370,28384) = 402627040

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Least Common Multiple of 28370 and 28384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28370 and 28384, than apply into the LCM equation.

GCF(28370,28384) = 2
LCM(28370,28384) = ( 28370 × 28384) / 2
LCM(28370,28384) = 805254080 / 2
LCM(28370,28384) = 402627040

Least Common Multiple (LCM) of 28370 and 28384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28370 and 28384. First we will calculate the prime factors of 28370 and 28384.

Prime Factorization of 28370

Prime factors of 28370 are 2, 5, 2837. Prime factorization of 28370 in exponential form is:

28370 = 21 × 51 × 28371

Prime Factorization of 28384

Prime factors of 28384 are 2, 887. Prime factorization of 28384 in exponential form is:

28384 = 25 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 28370 and 28384.

LCM(28370,28384) = 25 × 51 × 28371 × 8871
LCM(28370,28384) = 402627040