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What is the Least Common Multiple of 5514 and 5532?

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 5514 and 5532 is 5083908.

LCM(5514,5532) = 5083908

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Least Common Multiple of 5514 and 5532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5514 and 5532, than apply into the LCM equation.

GCF(5514,5532) = 6
LCM(5514,5532) = ( 5514 × 5532) / 6
LCM(5514,5532) = 30503448 / 6
LCM(5514,5532) = 5083908

Least Common Multiple (LCM) of 5514 and 5532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5532. First we will calculate the prime factors of 5514 and 5532.

Prime Factorization of 5514

Prime factors of 5514 are 2, 3, 919. Prime factorization of 5514 in exponential form is:

5514 = 21 × 31 × 9191

Prime Factorization of 5532

Prime factors of 5532 are 2, 3, 461. Prime factorization of 5532 in exponential form is:

5532 = 22 × 31 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5532.

LCM(5514,5532) = 22 × 31 × 9191 × 4611
LCM(5514,5532) = 5083908