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What is the Least Common Multiple of 27811 and 27824?

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 27811 and 27824 is 773813264.

LCM(27811,27824) = 773813264

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Least Common Multiple of 27811 and 27824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27811 and 27824, than apply into the LCM equation.

GCF(27811,27824) = 1
LCM(27811,27824) = ( 27811 × 27824) / 1
LCM(27811,27824) = 773813264 / 1
LCM(27811,27824) = 773813264

Least Common Multiple (LCM) of 27811 and 27824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27811 and 27824. First we will calculate the prime factors of 27811 and 27824.

Prime Factorization of 27811

Prime factors of 27811 are 7, 29, 137. Prime factorization of 27811 in exponential form is:

27811 = 71 × 291 × 1371

Prime Factorization of 27824

Prime factors of 27824 are 2, 37, 47. Prime factorization of 27824 in exponential form is:

27824 = 24 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 27811 and 27824.

LCM(27811,27824) = 71 × 291 × 1371 × 24 × 371 × 471
LCM(27811,27824) = 773813264