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What is the Least Common Multiple of 5523 and 5528?

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 5523 and 5528 is 30531144.

LCM(5523,5528) = 30531144

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Least Common Multiple of 5523 and 5528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5523 and 5528, than apply into the LCM equation.

GCF(5523,5528) = 1
LCM(5523,5528) = ( 5523 × 5528) / 1
LCM(5523,5528) = 30531144 / 1
LCM(5523,5528) = 30531144

Least Common Multiple (LCM) of 5523 and 5528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5528. First we will calculate the prime factors of 5523 and 5528.

Prime Factorization of 5523

Prime factors of 5523 are 3, 7, 263. Prime factorization of 5523 in exponential form is:

5523 = 31 × 71 × 2631

Prime Factorization of 5528

Prime factors of 5528 are 2, 691. Prime factorization of 5528 in exponential form is:

5528 = 23 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5528.

LCM(5523,5528) = 31 × 71 × 2631 × 23 × 6911
LCM(5523,5528) = 30531144