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What is the Least Common Multiple of 16850 and 16865?

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 16850 and 16865 is 56835050.

LCM(16850,16865) = 56835050

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Least Common Multiple of 16850 and 16865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16850 and 16865, than apply into the LCM equation.

GCF(16850,16865) = 5
LCM(16850,16865) = ( 16850 × 16865) / 5
LCM(16850,16865) = 284175250 / 5
LCM(16850,16865) = 56835050

Least Common Multiple (LCM) of 16850 and 16865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16850 and 16865. First we will calculate the prime factors of 16850 and 16865.

Prime Factorization of 16850

Prime factors of 16850 are 2, 5, 337. Prime factorization of 16850 in exponential form is:

16850 = 21 × 52 × 3371

Prime Factorization of 16865

Prime factors of 16865 are 5, 3373. Prime factorization of 16865 in exponential form is:

16865 = 51 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 16850 and 16865.

LCM(16850,16865) = 21 × 52 × 3371 × 33731
LCM(16850,16865) = 56835050