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What is the Least Common Multiple of 28642 and 28656?

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 28642 and 28656 is 410382576.

LCM(28642,28656) = 410382576

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Least Common Multiple of 28642 and 28656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28642 and 28656, than apply into the LCM equation.

GCF(28642,28656) = 2
LCM(28642,28656) = ( 28642 × 28656) / 2
LCM(28642,28656) = 820765152 / 2
LCM(28642,28656) = 410382576

Least Common Multiple (LCM) of 28642 and 28656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28642 and 28656. First we will calculate the prime factors of 28642 and 28656.

Prime Factorization of 28642

Prime factors of 28642 are 2, 14321. Prime factorization of 28642 in exponential form is:

28642 = 21 × 143211

Prime Factorization of 28656

Prime factors of 28656 are 2, 3, 199. Prime factorization of 28656 in exponential form is:

28656 = 24 × 32 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 28642 and 28656.

LCM(28642,28656) = 24 × 143211 × 32 × 1991
LCM(28642,28656) = 410382576