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What is the Least Common Multiple of 28562 and 28582?

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 28562 and 28582 is 408179542.

LCM(28562,28582) = 408179542

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Least Common Multiple of 28562 and 28582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28562 and 28582, than apply into the LCM equation.

GCF(28562,28582) = 2
LCM(28562,28582) = ( 28562 × 28582) / 2
LCM(28562,28582) = 816359084 / 2
LCM(28562,28582) = 408179542

Least Common Multiple (LCM) of 28562 and 28582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28562 and 28582. First we will calculate the prime factors of 28562 and 28582.

Prime Factorization of 28562

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

28562 = 21 × 142811

Prime Factorization of 28582

Prime factors of 28582 are 2, 31, 461. Prime factorization of 28582 in exponential form is:

28582 = 21 × 311 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 28562 and 28582.

LCM(28562,28582) = 21 × 142811 × 311 × 4611
LCM(28562,28582) = 408179542