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What is the Least Common Multiple of 18506 and 18512?

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 18506 and 18512 is 171291536.

LCM(18506,18512) = 171291536

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Least Common Multiple of 18506 and 18512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18506 and 18512, than apply into the LCM equation.

GCF(18506,18512) = 2
LCM(18506,18512) = ( 18506 × 18512) / 2
LCM(18506,18512) = 342583072 / 2
LCM(18506,18512) = 171291536

Least Common Multiple (LCM) of 18506 and 18512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18506 and 18512. First we will calculate the prime factors of 18506 and 18512.

Prime Factorization of 18506

Prime factors of 18506 are 2, 19, 487. Prime factorization of 18506 in exponential form is:

18506 = 21 × 191 × 4871

Prime Factorization of 18512

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

18512 = 24 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 18506 and 18512.

LCM(18506,18512) = 24 × 191 × 4871 × 131 × 891
LCM(18506,18512) = 171291536