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What is the Least Common Multiple of 16930 and 16937?

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 16930 and 16937 is 286743410.

LCM(16930,16937) = 286743410

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Least Common Multiple of 16930 and 16937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16930 and 16937, than apply into the LCM equation.

GCF(16930,16937) = 1
LCM(16930,16937) = ( 16930 × 16937) / 1
LCM(16930,16937) = 286743410 / 1
LCM(16930,16937) = 286743410

Least Common Multiple (LCM) of 16930 and 16937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16930 and 16937. First we will calculate the prime factors of 16930 and 16937.

Prime Factorization of 16930

Prime factors of 16930 are 2, 5, 1693. Prime factorization of 16930 in exponential form is:

16930 = 21 × 51 × 16931

Prime Factorization of 16937

Prime factors of 16937 are 16937. Prime factorization of 16937 in exponential form is:

16937 = 169371

Now multiplying the highest exponent prime factors to calculate the LCM of 16930 and 16937.

LCM(16930,16937) = 21 × 51 × 16931 × 169371
LCM(16930,16937) = 286743410