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What is the Least Common Multiple of 28574 and 28589?

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 28574 and 28589 is 816902086.

LCM(28574,28589) = 816902086

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Least Common Multiple of 28574 and 28589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28574 and 28589, than apply into the LCM equation.

GCF(28574,28589) = 1
LCM(28574,28589) = ( 28574 × 28589) / 1
LCM(28574,28589) = 816902086 / 1
LCM(28574,28589) = 816902086

Least Common Multiple (LCM) of 28574 and 28589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28574 and 28589. First we will calculate the prime factors of 28574 and 28589.

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

Prime Factorization of 28589

Prime factors of 28589 are 11, 23, 113. Prime factorization of 28589 in exponential form is:

28589 = 111 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 28574 and 28589.

LCM(28574,28589) = 21 × 71 × 131 × 1571 × 111 × 231 × 1131
LCM(28574,28589) = 816902086