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What is the Least Common Multiple of 18440 and 18453?

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 18440 and 18453 is 340273320.

LCM(18440,18453) = 340273320

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Least Common Multiple of 18440 and 18453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18440 and 18453, than apply into the LCM equation.

GCF(18440,18453) = 1
LCM(18440,18453) = ( 18440 × 18453) / 1
LCM(18440,18453) = 340273320 / 1
LCM(18440,18453) = 340273320

Least Common Multiple (LCM) of 18440 and 18453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18440 and 18453. First we will calculate the prime factors of 18440 and 18453.

Prime Factorization of 18440

Prime factors of 18440 are 2, 5, 461. Prime factorization of 18440 in exponential form is:

18440 = 23 × 51 × 4611

Prime Factorization of 18453

Prime factors of 18453 are 3, 6151. Prime factorization of 18453 in exponential form is:

18453 = 31 × 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 18440 and 18453.

LCM(18440,18453) = 23 × 51 × 4611 × 31 × 61511
LCM(18440,18453) = 340273320