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What is the Least Common Multiple of 18525 and 18538?

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 18525 and 18538 is 26416650.

LCM(18525,18538) = 26416650

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Least Common Multiple of 18525 and 18538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18525 and 18538, than apply into the LCM equation.

GCF(18525,18538) = 13
LCM(18525,18538) = ( 18525 × 18538) / 13
LCM(18525,18538) = 343416450 / 13
LCM(18525,18538) = 26416650

Least Common Multiple (LCM) of 18525 and 18538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18525 and 18538. First we will calculate the prime factors of 18525 and 18538.

Prime Factorization of 18525

Prime factors of 18525 are 3, 5, 13, 19. Prime factorization of 18525 in exponential form is:

18525 = 31 × 52 × 131 × 191

Prime Factorization of 18538

Prime factors of 18538 are 2, 13, 23, 31. Prime factorization of 18538 in exponential form is:

18538 = 21 × 131 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18525 and 18538.

LCM(18525,18538) = 31 × 52 × 131 × 191 × 21 × 231 × 311
LCM(18525,18538) = 26416650