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What is the Least Common Multiple of 16895 and 16900?

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 16895 and 16900 is 57105100.

LCM(16895,16900) = 57105100

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Least Common Multiple of 16895 and 16900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16895 and 16900, than apply into the LCM equation.

GCF(16895,16900) = 5
LCM(16895,16900) = ( 16895 × 16900) / 5
LCM(16895,16900) = 285525500 / 5
LCM(16895,16900) = 57105100

Least Common Multiple (LCM) of 16895 and 16900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16895 and 16900. First we will calculate the prime factors of 16895 and 16900.

Prime Factorization of 16895

Prime factors of 16895 are 5, 31, 109. Prime factorization of 16895 in exponential form is:

16895 = 51 × 311 × 1091

Prime Factorization of 16900

Prime factors of 16900 are 2, 5, 13. Prime factorization of 16900 in exponential form is:

16900 = 22 × 52 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 16895 and 16900.

LCM(16895,16900) = 52 × 311 × 1091 × 22 × 132
LCM(16895,16900) = 57105100