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What is the Least Common Multiple of 5371 and 5389?

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 5371 and 5389 is 28944319.

LCM(5371,5389) = 28944319

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Least Common Multiple of 5371 and 5389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5371 and 5389, than apply into the LCM equation.

GCF(5371,5389) = 1
LCM(5371,5389) = ( 5371 × 5389) / 1
LCM(5371,5389) = 28944319 / 1
LCM(5371,5389) = 28944319

Least Common Multiple (LCM) of 5371 and 5389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5371 and 5389. First we will calculate the prime factors of 5371 and 5389.

Prime Factorization of 5371

Prime factors of 5371 are 41, 131. Prime factorization of 5371 in exponential form is:

5371 = 411 × 1311

Prime Factorization of 5389

Prime factors of 5389 are 17, 317. Prime factorization of 5389 in exponential form is:

5389 = 171 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5371 and 5389.

LCM(5371,5389) = 411 × 1311 × 171 × 3171
LCM(5371,5389) = 28944319