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What is the Least Common Multiple of 5511 and 5523?

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 5511 and 5523 is 10145751.

LCM(5511,5523) = 10145751

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Least Common Multiple of 5511 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5511 and 5523, than apply into the LCM equation.

GCF(5511,5523) = 3
LCM(5511,5523) = ( 5511 × 5523) / 3
LCM(5511,5523) = 30437253 / 3
LCM(5511,5523) = 10145751

Least Common Multiple (LCM) of 5511 and 5523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5511 and 5523. First we will calculate the prime factors of 5511 and 5523.

Prime Factorization of 5511

Prime factors of 5511 are 3, 11, 167. Prime factorization of 5511 in exponential form is:

5511 = 31 × 111 × 1671

Prime Factorization of 5523

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

5523 = 31 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5511 and 5523.

LCM(5511,5523) = 31 × 111 × 1671 × 71 × 2631
LCM(5511,5523) = 10145751