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What is the Least Common Multiple of 28265 and 28280?

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 28265 and 28280 is 159866840.

LCM(28265,28280) = 159866840

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Least Common Multiple of 28265 and 28280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28265 and 28280, than apply into the LCM equation.

GCF(28265,28280) = 5
LCM(28265,28280) = ( 28265 × 28280) / 5
LCM(28265,28280) = 799334200 / 5
LCM(28265,28280) = 159866840

Least Common Multiple (LCM) of 28265 and 28280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28265 and 28280. First we will calculate the prime factors of 28265 and 28280.

Prime Factorization of 28265

Prime factors of 28265 are 5, 5653. Prime factorization of 28265 in exponential form is:

28265 = 51 × 56531

Prime Factorization of 28280

Prime factors of 28280 are 2, 5, 7, 101. Prime factorization of 28280 in exponential form is:

28280 = 23 × 51 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 28265 and 28280.

LCM(28265,28280) = 51 × 56531 × 23 × 71 × 1011
LCM(28265,28280) = 159866840