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What is the Least Common Multiple of 28525 and 28544?

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 28525 and 28544 is 814217600.

LCM(28525,28544) = 814217600

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Least Common Multiple of 28525 and 28544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28525 and 28544, than apply into the LCM equation.

GCF(28525,28544) = 1
LCM(28525,28544) = ( 28525 × 28544) / 1
LCM(28525,28544) = 814217600 / 1
LCM(28525,28544) = 814217600

Least Common Multiple (LCM) of 28525 and 28544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28525 and 28544. First we will calculate the prime factors of 28525 and 28544.

Prime Factorization of 28525

Prime factors of 28525 are 5, 7, 163. Prime factorization of 28525 in exponential form is:

28525 = 52 × 71 × 1631

Prime Factorization of 28544

Prime factors of 28544 are 2, 223. Prime factorization of 28544 in exponential form is:

28544 = 27 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 28525 and 28544.

LCM(28525,28544) = 52 × 71 × 1631 × 27 × 2231
LCM(28525,28544) = 814217600