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What is the Least Common Multiple of 18489 and 18506?

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 18489 and 18506 is 342157434.

LCM(18489,18506) = 342157434

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Least Common Multiple of 18489 and 18506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18489 and 18506, than apply into the LCM equation.

GCF(18489,18506) = 1
LCM(18489,18506) = ( 18489 × 18506) / 1
LCM(18489,18506) = 342157434 / 1
LCM(18489,18506) = 342157434

Least Common Multiple (LCM) of 18489 and 18506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18489 and 18506. First we will calculate the prime factors of 18489 and 18506.

Prime Factorization of 18489

Prime factors of 18489 are 3, 6163. Prime factorization of 18489 in exponential form is:

18489 = 31 × 61631

Prime Factorization of 18506

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

18506 = 21 × 191 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 18489 and 18506.

LCM(18489,18506) = 31 × 61631 × 21 × 191 × 4871
LCM(18489,18506) = 342157434