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What is the Least Common Multiple of 18512 and 18530?

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 18512 and 18530 is 171513680.

LCM(18512,18530) = 171513680

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Least Common Multiple of 18512 and 18530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18512 and 18530, than apply into the LCM equation.

GCF(18512,18530) = 2
LCM(18512,18530) = ( 18512 × 18530) / 2
LCM(18512,18530) = 343027360 / 2
LCM(18512,18530) = 171513680

Least Common Multiple (LCM) of 18512 and 18530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18512 and 18530. First we will calculate the prime factors of 18512 and 18530.

Prime Factorization of 18512

Prime factors of 18512 are 2, 13, 89. Prime factorization of 18512 in exponential form is:

18512 = 24 × 131 × 891

Prime Factorization of 18530

Prime factors of 18530 are 2, 5, 17, 109. Prime factorization of 18530 in exponential form is:

18530 = 21 × 51 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 18512 and 18530.

LCM(18512,18530) = 24 × 131 × 891 × 51 × 171 × 1091
LCM(18512,18530) = 171513680