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What is the Least Common Multiple of 5320 and 5332?

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 5320 and 5332 is 7091560.

LCM(5320,5332) = 7091560

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Least Common Multiple of 5320 and 5332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5320 and 5332, than apply into the LCM equation.

GCF(5320,5332) = 4
LCM(5320,5332) = ( 5320 × 5332) / 4
LCM(5320,5332) = 28366240 / 4
LCM(5320,5332) = 7091560

Least Common Multiple (LCM) of 5320 and 5332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5320 and 5332. First we will calculate the prime factors of 5320 and 5332.

Prime Factorization of 5320

Prime factors of 5320 are 2, 5, 7, 19. Prime factorization of 5320 in exponential form is:

5320 = 23 × 51 × 71 × 191

Prime Factorization of 5332

Prime factors of 5332 are 2, 31, 43. Prime factorization of 5332 in exponential form is:

5332 = 22 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 5320 and 5332.

LCM(5320,5332) = 23 × 51 × 71 × 191 × 311 × 431
LCM(5320,5332) = 7091560