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What is the Least Common Multiple of 28531 and 28541?

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 28531 and 28541 is 814303271.

LCM(28531,28541) = 814303271

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Least Common Multiple of 28531 and 28541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28531 and 28541, than apply into the LCM equation.

GCF(28531,28541) = 1
LCM(28531,28541) = ( 28531 × 28541) / 1
LCM(28531,28541) = 814303271 / 1
LCM(28531,28541) = 814303271

Least Common Multiple (LCM) of 28531 and 28541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28531 and 28541. First we will calculate the prime factors of 28531 and 28541.

Prime Factorization of 28531

Prime factors of 28531 are 103, 277. Prime factorization of 28531 in exponential form is:

28531 = 1031 × 2771

Prime Factorization of 28541

Prime factors of 28541 are 28541. Prime factorization of 28541 in exponential form is:

28541 = 285411

Now multiplying the highest exponent prime factors to calculate the LCM of 28531 and 28541.

LCM(28531,28541) = 1031 × 2771 × 285411
LCM(28531,28541) = 814303271