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What is the Least Common Multiple of 28246 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 28246 and 28260 is 399115980.

LCM(28246,28260) = 399115980

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Least Common Multiple of 28246 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 28246 and 28260, than apply into the LCM equation.

GCF(28246,28260) = 2
LCM(28246,28260) = ( 28246 × 28260) / 2
LCM(28246,28260) = 798231960 / 2
LCM(28246,28260) = 399115980

Least Common Multiple (LCM) of 28246 and 28260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28246 and 28260. First we will calculate the prime factors of 28246 and 28260.

Prime Factorization of 28246

Prime factors of 28246 are 2, 29, 487. Prime factorization of 28246 in exponential form is:

28246 = 21 × 291 × 4871

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 28246 and 28260.

LCM(28246,28260) = 22 × 291 × 4871 × 32 × 51 × 1571
LCM(28246,28260) = 399115980