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What is the Least Common Multiple of 16880 and 16899?

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 16880 and 16899 is 285255120.

LCM(16880,16899) = 285255120

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Least Common Multiple of 16880 and 16899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16880 and 16899, than apply into the LCM equation.

GCF(16880,16899) = 1
LCM(16880,16899) = ( 16880 × 16899) / 1
LCM(16880,16899) = 285255120 / 1
LCM(16880,16899) = 285255120

Least Common Multiple (LCM) of 16880 and 16899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16880 and 16899. First we will calculate the prime factors of 16880 and 16899.

Prime Factorization of 16880

Prime factors of 16880 are 2, 5, 211. Prime factorization of 16880 in exponential form is:

16880 = 24 × 51 × 2111

Prime Factorization of 16899

Prime factors of 16899 are 3, 43, 131. Prime factorization of 16899 in exponential form is:

16899 = 31 × 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 16880 and 16899.

LCM(16880,16899) = 24 × 51 × 2111 × 31 × 431 × 1311
LCM(16880,16899) = 285255120