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What is the Least Common Multiple of 28478 and 28488?

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 28478 and 28488 is 405640632.

LCM(28478,28488) = 405640632

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Least Common Multiple of 28478 and 28488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28478 and 28488, than apply into the LCM equation.

GCF(28478,28488) = 2
LCM(28478,28488) = ( 28478 × 28488) / 2
LCM(28478,28488) = 811281264 / 2
LCM(28478,28488) = 405640632

Least Common Multiple (LCM) of 28478 and 28488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28478 and 28488. First we will calculate the prime factors of 28478 and 28488.

Prime Factorization of 28478

Prime factors of 28478 are 2, 29, 491. Prime factorization of 28478 in exponential form is:

28478 = 21 × 291 × 4911

Prime Factorization of 28488

Prime factors of 28488 are 2, 3, 1187. Prime factorization of 28488 in exponential form is:

28488 = 23 × 31 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 28478 and 28488.

LCM(28478,28488) = 23 × 291 × 4911 × 31 × 11871
LCM(28478,28488) = 405640632