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What is the Least Common Multiple of 28508 and 28524?

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 28508 and 28524 is 203290548.

LCM(28508,28524) = 203290548

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Least Common Multiple of 28508 and 28524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28508 and 28524, than apply into the LCM equation.

GCF(28508,28524) = 4
LCM(28508,28524) = ( 28508 × 28524) / 4
LCM(28508,28524) = 813162192 / 4
LCM(28508,28524) = 203290548

Least Common Multiple (LCM) of 28508 and 28524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28508 and 28524. First we will calculate the prime factors of 28508 and 28524.

Prime Factorization of 28508

Prime factors of 28508 are 2, 7127. Prime factorization of 28508 in exponential form is:

28508 = 22 × 71271

Prime Factorization of 28524

Prime factors of 28524 are 2, 3, 2377. Prime factorization of 28524 in exponential form is:

28524 = 22 × 31 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 28508 and 28524.

LCM(28508,28524) = 22 × 71271 × 31 × 23771
LCM(28508,28524) = 203290548