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What is the Least Common Multiple of 28562 and 28574?

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 28574 is 408065294.

LCM(28562,28574) = 408065294

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Least Common Multiple of 28562 and 28574 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 28574, than apply into the LCM equation.

GCF(28562,28574) = 2
LCM(28562,28574) = ( 28562 × 28574) / 2
LCM(28562,28574) = 816130588 / 2
LCM(28562,28574) = 408065294

Least Common Multiple (LCM) of 28562 and 28574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28562 and 28574. First we will calculate the prime factors of 28562 and 28574.

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 28574

Prime factors of 28574 are 2, 7, 13, 157. Prime factorization of 28574 in exponential form is:

28574 = 21 × 71 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 28562 and 28574.

LCM(28562,28574) = 21 × 142811 × 71 × 131 × 1571
LCM(28562,28574) = 408065294