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What is the Least Common Multiple of 16840 and 16855?

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 16840 and 16855 is 56767640.

LCM(16840,16855) = 56767640

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Least Common Multiple of 16840 and 16855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16840 and 16855, than apply into the LCM equation.

GCF(16840,16855) = 5
LCM(16840,16855) = ( 16840 × 16855) / 5
LCM(16840,16855) = 283838200 / 5
LCM(16840,16855) = 56767640

Least Common Multiple (LCM) of 16840 and 16855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16840 and 16855. First we will calculate the prime factors of 16840 and 16855.

Prime Factorization of 16840

Prime factors of 16840 are 2, 5, 421. Prime factorization of 16840 in exponential form is:

16840 = 23 × 51 × 4211

Prime Factorization of 16855

Prime factors of 16855 are 5, 3371. Prime factorization of 16855 in exponential form is:

16855 = 51 × 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 16840 and 16855.

LCM(16840,16855) = 23 × 51 × 4211 × 33711
LCM(16840,16855) = 56767640