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What is the Least Common Multiple of 28546 and 28562?

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 28546 and 28562 is 407665426.

LCM(28546,28562) = 407665426

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Least Common Multiple of 28546 and 28562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28546 and 28562, than apply into the LCM equation.

GCF(28546,28562) = 2
LCM(28546,28562) = ( 28546 × 28562) / 2
LCM(28546,28562) = 815330852 / 2
LCM(28546,28562) = 407665426

Least Common Multiple (LCM) of 28546 and 28562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28546 and 28562. First we will calculate the prime factors of 28546 and 28562.

Prime Factorization of 28546

Prime factors of 28546 are 2, 7, 2039. Prime factorization of 28546 in exponential form is:

28546 = 21 × 71 × 20391

Prime Factorization of 28562

Prime factors of 28562 are 2, 14281. Prime factorization of 28562 in exponential form is:

28562 = 21 × 142811

Now multiplying the highest exponent prime factors to calculate the LCM of 28546 and 28562.

LCM(28546,28562) = 21 × 71 × 20391 × 142811
LCM(28546,28562) = 407665426