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What is the Least Common Multiple of 16774 and 16785?

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 16774 and 16785 is 281551590.

LCM(16774,16785) = 281551590

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Least Common Multiple of 16774 and 16785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16774 and 16785, than apply into the LCM equation.

GCF(16774,16785) = 1
LCM(16774,16785) = ( 16774 × 16785) / 1
LCM(16774,16785) = 281551590 / 1
LCM(16774,16785) = 281551590

Least Common Multiple (LCM) of 16774 and 16785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16774 and 16785. First we will calculate the prime factors of 16774 and 16785.

Prime Factorization of 16774

Prime factors of 16774 are 2, 8387. Prime factorization of 16774 in exponential form is:

16774 = 21 × 83871

Prime Factorization of 16785

Prime factors of 16785 are 3, 5, 373. Prime factorization of 16785 in exponential form is:

16785 = 32 × 51 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 16774 and 16785.

LCM(16774,16785) = 21 × 83871 × 32 × 51 × 3731
LCM(16774,16785) = 281551590