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What is the Least Common Multiple of 16598 and 16605?

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 16598 and 16605 is 275609790.

LCM(16598,16605) = 275609790

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Least Common Multiple of 16598 and 16605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16598 and 16605, than apply into the LCM equation.

GCF(16598,16605) = 1
LCM(16598,16605) = ( 16598 × 16605) / 1
LCM(16598,16605) = 275609790 / 1
LCM(16598,16605) = 275609790

Least Common Multiple (LCM) of 16598 and 16605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16598 and 16605. First we will calculate the prime factors of 16598 and 16605.

Prime Factorization of 16598

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

16598 = 21 × 431 × 1931

Prime Factorization of 16605

Prime factors of 16605 are 3, 5, 41. Prime factorization of 16605 in exponential form is:

16605 = 34 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 16598 and 16605.

LCM(16598,16605) = 21 × 431 × 1931 × 34 × 51 × 411
LCM(16598,16605) = 275609790