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What is the Least Common Multiple of 16856 and 16860?

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 16856 and 16860 is 71048040.

LCM(16856,16860) = 71048040

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Least Common Multiple of 16856 and 16860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16856 and 16860, than apply into the LCM equation.

GCF(16856,16860) = 4
LCM(16856,16860) = ( 16856 × 16860) / 4
LCM(16856,16860) = 284192160 / 4
LCM(16856,16860) = 71048040

Least Common Multiple (LCM) of 16856 and 16860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16856 and 16860. First we will calculate the prime factors of 16856 and 16860.

Prime Factorization of 16856

Prime factors of 16856 are 2, 7, 43. Prime factorization of 16856 in exponential form is:

16856 = 23 × 72 × 431

Prime Factorization of 16860

Prime factors of 16860 are 2, 3, 5, 281. Prime factorization of 16860 in exponential form is:

16860 = 22 × 31 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 16856 and 16860.

LCM(16856,16860) = 23 × 72 × 431 × 31 × 51 × 2811
LCM(16856,16860) = 71048040