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What is the Least Common Multiple of 16892 and 16896?

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 16892 and 16896 is 71351808.

LCM(16892,16896) = 71351808

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Least Common Multiple of 16892 and 16896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16892 and 16896, than apply into the LCM equation.

GCF(16892,16896) = 4
LCM(16892,16896) = ( 16892 × 16896) / 4
LCM(16892,16896) = 285407232 / 4
LCM(16892,16896) = 71351808

Least Common Multiple (LCM) of 16892 and 16896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16892 and 16896. First we will calculate the prime factors of 16892 and 16896.

Prime Factorization of 16892

Prime factors of 16892 are 2, 41, 103. Prime factorization of 16892 in exponential form is:

16892 = 22 × 411 × 1031

Prime Factorization of 16896

Prime factors of 16896 are 2, 3, 11. Prime factorization of 16896 in exponential form is:

16896 = 29 × 31 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 16892 and 16896.

LCM(16892,16896) = 29 × 411 × 1031 × 31 × 111
LCM(16892,16896) = 71351808