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What is the Least Common Multiple of 28754 and 28771?

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 28754 and 28771 is 827281334.

LCM(28754,28771) = 827281334

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Least Common Multiple of 28754 and 28771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28754 and 28771, than apply into the LCM equation.

GCF(28754,28771) = 1
LCM(28754,28771) = ( 28754 × 28771) / 1
LCM(28754,28771) = 827281334 / 1
LCM(28754,28771) = 827281334

Least Common Multiple (LCM) of 28754 and 28771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28754 and 28771. First we will calculate the prime factors of 28754 and 28771.

Prime Factorization of 28754

Prime factors of 28754 are 2, 11, 1307. Prime factorization of 28754 in exponential form is:

28754 = 21 × 111 × 13071

Prime Factorization of 28771

Prime factors of 28771 are 28771. Prime factorization of 28771 in exponential form is:

28771 = 287711

Now multiplying the highest exponent prime factors to calculate the LCM of 28754 and 28771.

LCM(28754,28771) = 21 × 111 × 13071 × 287711
LCM(28754,28771) = 827281334