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What is the Least Common Multiple of 16781 and 16795?

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 16781 and 16795 is 281836895.

LCM(16781,16795) = 281836895

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Least Common Multiple of 16781 and 16795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16781 and 16795, than apply into the LCM equation.

GCF(16781,16795) = 1
LCM(16781,16795) = ( 16781 × 16795) / 1
LCM(16781,16795) = 281836895 / 1
LCM(16781,16795) = 281836895

Least Common Multiple (LCM) of 16781 and 16795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16781 and 16795. First we will calculate the prime factors of 16781 and 16795.

Prime Factorization of 16781

Prime factors of 16781 are 97, 173. Prime factorization of 16781 in exponential form is:

16781 = 971 × 1731

Prime Factorization of 16795

Prime factors of 16795 are 5, 3359. Prime factorization of 16795 in exponential form is:

16795 = 51 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 16781 and 16795.

LCM(16781,16795) = 971 × 1731 × 51 × 33591
LCM(16781,16795) = 281836895