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What is the Least Common Multiple of 28243 and 28260?

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 28243 and 28260 is 798147180.

LCM(28243,28260) = 798147180

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Least Common Multiple of 28243 and 28260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28243 and 28260, than apply into the LCM equation.

GCF(28243,28260) = 1
LCM(28243,28260) = ( 28243 × 28260) / 1
LCM(28243,28260) = 798147180 / 1
LCM(28243,28260) = 798147180

Least Common Multiple (LCM) of 28243 and 28260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28243 and 28260. First we will calculate the prime factors of 28243 and 28260.

Prime Factorization of 28243

Prime factors of 28243 are 61, 463. Prime factorization of 28243 in exponential form is:

28243 = 611 × 4631

Prime Factorization of 28260

Prime factors of 28260 are 2, 3, 5, 157. Prime factorization of 28260 in exponential form is:

28260 = 22 × 32 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 28243 and 28260.

LCM(28243,28260) = 611 × 4631 × 22 × 32 × 51 × 1571
LCM(28243,28260) = 798147180