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What is the Least Common Multiple of 27853 and 27873?

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 27853 and 27873 is 776346669.

LCM(27853,27873) = 776346669

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Least Common Multiple of 27853 and 27873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27853 and 27873, than apply into the LCM equation.

GCF(27853,27873) = 1
LCM(27853,27873) = ( 27853 × 27873) / 1
LCM(27853,27873) = 776346669 / 1
LCM(27853,27873) = 776346669

Least Common Multiple (LCM) of 27853 and 27873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27853 and 27873. First we will calculate the prime factors of 27853 and 27873.

Prime Factorization of 27853

Prime factors of 27853 are 7, 23, 173. Prime factorization of 27853 in exponential form is:

27853 = 71 × 231 × 1731

Prime Factorization of 27873

Prime factors of 27873 are 3, 19, 163. Prime factorization of 27873 in exponential form is:

27873 = 32 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 27853 and 27873.

LCM(27853,27873) = 71 × 231 × 1731 × 32 × 191 × 1631
LCM(27853,27873) = 776346669