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What is the Least Common Multiple of 28780 and 28784?

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 28780 and 28784 is 207100880.

LCM(28780,28784) = 207100880

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Least Common Multiple of 28780 and 28784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28780 and 28784, than apply into the LCM equation.

GCF(28780,28784) = 4
LCM(28780,28784) = ( 28780 × 28784) / 4
LCM(28780,28784) = 828403520 / 4
LCM(28780,28784) = 207100880

Least Common Multiple (LCM) of 28780 and 28784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28780 and 28784. First we will calculate the prime factors of 28780 and 28784.

Prime Factorization of 28780

Prime factors of 28780 are 2, 5, 1439. Prime factorization of 28780 in exponential form is:

28780 = 22 × 51 × 14391

Prime Factorization of 28784

Prime factors of 28784 are 2, 7, 257. Prime factorization of 28784 in exponential form is:

28784 = 24 × 71 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 28780 and 28784.

LCM(28780,28784) = 24 × 51 × 14391 × 71 × 2571
LCM(28780,28784) = 207100880