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What is the Least Common Multiple of 5330 and 5348?

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 5330 and 5348 is 14252420.

LCM(5330,5348) = 14252420

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Least Common Multiple of 5330 and 5348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5330 and 5348, than apply into the LCM equation.

GCF(5330,5348) = 2
LCM(5330,5348) = ( 5330 × 5348) / 2
LCM(5330,5348) = 28504840 / 2
LCM(5330,5348) = 14252420

Least Common Multiple (LCM) of 5330 and 5348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5330 and 5348. First we will calculate the prime factors of 5330 and 5348.

Prime Factorization of 5330

Prime factors of 5330 are 2, 5, 13, 41. Prime factorization of 5330 in exponential form is:

5330 = 21 × 51 × 131 × 411

Prime Factorization of 5348

Prime factors of 5348 are 2, 7, 191. Prime factorization of 5348 in exponential form is:

5348 = 22 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 5330 and 5348.

LCM(5330,5348) = 22 × 51 × 131 × 411 × 71 × 1911
LCM(5330,5348) = 14252420