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What is the Least Common Multiple of 28780 and 28799?

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 28799 is 828835220.

LCM(28780,28799) = 828835220

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Least Common Multiple of 28780 and 28799 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 28799, than apply into the LCM equation.

GCF(28780,28799) = 1
LCM(28780,28799) = ( 28780 × 28799) / 1
LCM(28780,28799) = 828835220 / 1
LCM(28780,28799) = 828835220

Least Common Multiple (LCM) of 28780 and 28799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28780 and 28799. First we will calculate the prime factors of 28780 and 28799.

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 28799

Prime factors of 28799 are 31, 929. Prime factorization of 28799 in exponential form is:

28799 = 311 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 28780 and 28799.

LCM(28780,28799) = 22 × 51 × 14391 × 311 × 9291
LCM(28780,28799) = 828835220