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What is the Least Common Multiple of 16860 and 16870?

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 16860 and 16870 is 28442820.

LCM(16860,16870) = 28442820

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Least Common Multiple of 16860 and 16870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16860 and 16870, than apply into the LCM equation.

GCF(16860,16870) = 10
LCM(16860,16870) = ( 16860 × 16870) / 10
LCM(16860,16870) = 284428200 / 10
LCM(16860,16870) = 28442820

Least Common Multiple (LCM) of 16860 and 16870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16860 and 16870. First we will calculate the prime factors of 16860 and 16870.

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

Prime Factorization of 16870

Prime factors of 16870 are 2, 5, 7, 241. Prime factorization of 16870 in exponential form is:

16870 = 21 × 51 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 16860 and 16870.

LCM(16860,16870) = 22 × 31 × 51 × 2811 × 71 × 2411
LCM(16860,16870) = 28442820