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What is the Least Common Multiple of 18488 and 18492?

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 18488 and 18492 is 85470024.

LCM(18488,18492) = 85470024

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Least Common Multiple of 18488 and 18492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18488 and 18492, than apply into the LCM equation.

GCF(18488,18492) = 4
LCM(18488,18492) = ( 18488 × 18492) / 4
LCM(18488,18492) = 341880096 / 4
LCM(18488,18492) = 85470024

Least Common Multiple (LCM) of 18488 and 18492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18488 and 18492. First we will calculate the prime factors of 18488 and 18492.

Prime Factorization of 18488

Prime factors of 18488 are 2, 2311. Prime factorization of 18488 in exponential form is:

18488 = 23 × 23111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 18488 and 18492.

LCM(18488,18492) = 23 × 23111 × 31 × 231 × 671
LCM(18488,18492) = 85470024