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What is the Least Common Multiple of 18539 and 18550?

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 18539 and 18550 is 343898450.

LCM(18539,18550) = 343898450

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Least Common Multiple of 18539 and 18550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18539 and 18550, than apply into the LCM equation.

GCF(18539,18550) = 1
LCM(18539,18550) = ( 18539 × 18550) / 1
LCM(18539,18550) = 343898450 / 1
LCM(18539,18550) = 343898450

Least Common Multiple (LCM) of 18539 and 18550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18539 and 18550. First we will calculate the prime factors of 18539 and 18550.

Prime Factorization of 18539

Prime factors of 18539 are 18539. Prime factorization of 18539 in exponential form is:

18539 = 185391

Prime Factorization of 18550

Prime factors of 18550 are 2, 5, 7, 53. Prime factorization of 18550 in exponential form is:

18550 = 21 × 52 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18539 and 18550.

LCM(18539,18550) = 185391 × 21 × 52 × 71 × 531
LCM(18539,18550) = 343898450