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What is the Least Common Multiple of 16926 and 16940?

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 16926 and 16940 is 20480460.

LCM(16926,16940) = 20480460

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Least Common Multiple of 16926 and 16940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16926 and 16940, than apply into the LCM equation.

GCF(16926,16940) = 14
LCM(16926,16940) = ( 16926 × 16940) / 14
LCM(16926,16940) = 286726440 / 14
LCM(16926,16940) = 20480460

Least Common Multiple (LCM) of 16926 and 16940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16926 and 16940. First we will calculate the prime factors of 16926 and 16940.

Prime Factorization of 16926

Prime factors of 16926 are 2, 3, 7, 13, 31. Prime factorization of 16926 in exponential form is:

16926 = 21 × 31 × 71 × 131 × 311

Prime Factorization of 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 22 × 51 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 16926 and 16940.

LCM(16926,16940) = 22 × 31 × 71 × 131 × 311 × 51 × 112
LCM(16926,16940) = 20480460