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What is the Least Common Multiple of 16754 and 16773?

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 16754 and 16773 is 281014842.

LCM(16754,16773) = 281014842

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Least Common Multiple of 16754 and 16773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16754 and 16773, than apply into the LCM equation.

GCF(16754,16773) = 1
LCM(16754,16773) = ( 16754 × 16773) / 1
LCM(16754,16773) = 281014842 / 1
LCM(16754,16773) = 281014842

Least Common Multiple (LCM) of 16754 and 16773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16754 and 16773. First we will calculate the prime factors of 16754 and 16773.

Prime Factorization of 16754

Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:

16754 = 21 × 83771

Prime Factorization of 16773

Prime factors of 16773 are 3, 5591. Prime factorization of 16773 in exponential form is:

16773 = 31 × 55911

Now multiplying the highest exponent prime factors to calculate the LCM of 16754 and 16773.

LCM(16754,16773) = 21 × 83771 × 31 × 55911
LCM(16754,16773) = 281014842