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What is the Least Common Multiple of 16815 and 16827?

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 16815 and 16827 is 94315335.

LCM(16815,16827) = 94315335

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Least Common Multiple of 16815 and 16827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16815 and 16827, than apply into the LCM equation.

GCF(16815,16827) = 3
LCM(16815,16827) = ( 16815 × 16827) / 3
LCM(16815,16827) = 282946005 / 3
LCM(16815,16827) = 94315335

Least Common Multiple (LCM) of 16815 and 16827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16815 and 16827. First we will calculate the prime factors of 16815 and 16827.

Prime Factorization of 16815

Prime factors of 16815 are 3, 5, 19, 59. Prime factorization of 16815 in exponential form is:

16815 = 31 × 51 × 191 × 591

Prime Factorization of 16827

Prime factors of 16827 are 3, 71, 79. Prime factorization of 16827 in exponential form is:

16827 = 31 × 711 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 16815 and 16827.

LCM(16815,16827) = 31 × 51 × 191 × 591 × 711 × 791
LCM(16815,16827) = 94315335