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What is the Least Common Multiple of 16870 and 16890?

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 16870 and 16890 is 28493430.

LCM(16870,16890) = 28493430

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Least Common Multiple of 16870 and 16890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16870 and 16890, than apply into the LCM equation.

GCF(16870,16890) = 10
LCM(16870,16890) = ( 16870 × 16890) / 10
LCM(16870,16890) = 284934300 / 10
LCM(16870,16890) = 28493430

Least Common Multiple (LCM) of 16870 and 16890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16870 and 16890. First we will calculate the prime factors of 16870 and 16890.

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

Prime Factorization of 16890

Prime factors of 16890 are 2, 3, 5, 563. Prime factorization of 16890 in exponential form is:

16890 = 21 × 31 × 51 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 16870 and 16890.

LCM(16870,16890) = 21 × 51 × 71 × 2411 × 31 × 5631
LCM(16870,16890) = 28493430