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What is the Least Common Multiple of 5516 and 5520?

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 5516 and 5520 is 7612080.

LCM(5516,5520) = 7612080

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Least Common Multiple of 5516 and 5520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5516 and 5520, than apply into the LCM equation.

GCF(5516,5520) = 4
LCM(5516,5520) = ( 5516 × 5520) / 4
LCM(5516,5520) = 30448320 / 4
LCM(5516,5520) = 7612080

Least Common Multiple (LCM) of 5516 and 5520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5516 and 5520. First we will calculate the prime factors of 5516 and 5520.

Prime Factorization of 5516

Prime factors of 5516 are 2, 7, 197. Prime factorization of 5516 in exponential form is:

5516 = 22 × 71 × 1971

Prime Factorization of 5520

Prime factors of 5520 are 2, 3, 5, 23. Prime factorization of 5520 in exponential form is:

5520 = 24 × 31 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5516 and 5520.

LCM(5516,5520) = 24 × 71 × 1971 × 31 × 51 × 231
LCM(5516,5520) = 7612080