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What is the Least Common Multiple of 17914 and 17928?

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 17914 and 17928 is 160581096.

LCM(17914,17928) = 160581096

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Least Common Multiple of 17914 and 17928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17914 and 17928, than apply into the LCM equation.

GCF(17914,17928) = 2
LCM(17914,17928) = ( 17914 × 17928) / 2
LCM(17914,17928) = 321162192 / 2
LCM(17914,17928) = 160581096

Least Common Multiple (LCM) of 17914 and 17928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17914 and 17928. First we will calculate the prime factors of 17914 and 17928.

Prime Factorization of 17914

Prime factors of 17914 are 2, 13, 53. Prime factorization of 17914 in exponential form is:

17914 = 21 × 132 × 531

Prime Factorization of 17928

Prime factors of 17928 are 2, 3, 83. Prime factorization of 17928 in exponential form is:

17928 = 23 × 33 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 17914 and 17928.

LCM(17914,17928) = 23 × 132 × 531 × 33 × 831
LCM(17914,17928) = 160581096