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What is the Least Common Multiple of 18492 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 18492 and 18506 is 171106476.

LCM(18492,18506) = 171106476

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Least Common Multiple of 18492 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 18492 and 18506, than apply into the LCM equation.

GCF(18492,18506) = 2
LCM(18492,18506) = ( 18492 × 18506) / 2
LCM(18492,18506) = 342212952 / 2
LCM(18492,18506) = 171106476

Least Common Multiple (LCM) of 18492 and 18506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18492 and 18506. First we will calculate the prime factors of 18492 and 18506.

Prime Factorization of 18492

Prime factors of 18492 are 2, 3, 23, 67. Prime factorization of 18492 in exponential form is:

18492 = 22 × 31 × 231 × 671

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 18492 and 18506.

LCM(18492,18506) = 22 × 31 × 231 × 671 × 191 × 4871
LCM(18492,18506) = 171106476