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What is the Least Common Multiple of 5418 and 5438?

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 5418 and 5438 is 14731542.

LCM(5418,5438) = 14731542

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Least Common Multiple of 5418 and 5438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5418 and 5438, than apply into the LCM equation.

GCF(5418,5438) = 2
LCM(5418,5438) = ( 5418 × 5438) / 2
LCM(5418,5438) = 29463084 / 2
LCM(5418,5438) = 14731542

Least Common Multiple (LCM) of 5418 and 5438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5418 and 5438. First we will calculate the prime factors of 5418 and 5438.

Prime Factorization of 5418

Prime factors of 5418 are 2, 3, 7, 43. Prime factorization of 5418 in exponential form is:

5418 = 21 × 32 × 71 × 431

Prime Factorization of 5438

Prime factors of 5438 are 2, 2719. Prime factorization of 5438 in exponential form is:

5438 = 21 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 5418 and 5438.

LCM(5418,5438) = 21 × 32 × 71 × 431 × 27191
LCM(5418,5438) = 14731542