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What is the Least Common Multiple of 16538 and 16554?

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 16538 and 16554 is 136885026.

LCM(16538,16554) = 136885026

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Least Common Multiple of 16538 and 16554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16538 and 16554, than apply into the LCM equation.

GCF(16538,16554) = 2
LCM(16538,16554) = ( 16538 × 16554) / 2
LCM(16538,16554) = 273770052 / 2
LCM(16538,16554) = 136885026

Least Common Multiple (LCM) of 16538 and 16554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16538 and 16554. First we will calculate the prime factors of 16538 and 16554.

Prime Factorization of 16538

Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:

16538 = 21 × 82691

Prime Factorization of 16554

Prime factors of 16554 are 2, 3, 31, 89. Prime factorization of 16554 in exponential form is:

16554 = 21 × 31 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 16538 and 16554.

LCM(16538,16554) = 21 × 82691 × 31 × 311 × 891
LCM(16538,16554) = 136885026