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What is the Least Common Multiple of 16592 and 16598?

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 16592 and 16598 is 137697008.

LCM(16592,16598) = 137697008

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Least Common Multiple of 16592 and 16598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16592 and 16598, than apply into the LCM equation.

GCF(16592,16598) = 2
LCM(16592,16598) = ( 16592 × 16598) / 2
LCM(16592,16598) = 275394016 / 2
LCM(16592,16598) = 137697008

Least Common Multiple (LCM) of 16592 and 16598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16592 and 16598. First we will calculate the prime factors of 16592 and 16598.

Prime Factorization of 16592

Prime factors of 16592 are 2, 17, 61. Prime factorization of 16592 in exponential form is:

16592 = 24 × 171 × 611

Prime Factorization of 16598

Prime factors of 16598 are 2, 43, 193. Prime factorization of 16598 in exponential form is:

16598 = 21 × 431 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 16592 and 16598.

LCM(16592,16598) = 24 × 171 × 611 × 431 × 1931
LCM(16592,16598) = 137697008