Least Common Multiple of 5521 and 5526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5521 and 5526 the smallest integer that is 30509046 that is divisible by both numbers.

Least Common Multiple (LCM) of 5521 and 5526 is 30509046.

LCM(5521,5526) = 30509046

LCM of 5521 and 5526

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5521 and 5526

LCM of 5521 and 5526 is 30509046

Least common multiple can be found by multiplying the highest exponent prime factors of 5521 and 5526. First we will calculate the prime factors of 5521 and 5526.

Prime Factorization of 5521


5521 5521
1

Prime factors of 5521 are 5521. Prime factorization of 5521 in exponential form is:

5521 = 55211

Prime Factorization of 5526


2 5526
3 2763
3 921
307 307
1

Prime factors of 5526 are 2, 3,307. Prime factorization of 5526 in exponential form is:

5526 = 21×32×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5521 and 5526.

LCM(5521,5526) = 21×32×3071×55211
LCM(5521,5526) = 30509046

Factors of 5521

List of positive integer factors of 5521 that divides 5521 without a remainder.

1, 5521

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526

Least Common Multiple of 5521 and 5526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5521 and 5526, than apply into the LCM equation.

GCF(5521,5526) = 1
LCM(5521,5526) = ( 5521 × 5526) / 1
LCM(5521,5526) = 30509046 / 1
LCM(5521,5526) = 30509046

Properties of LCM 5521 and 5526

(i) The LCM of 5526 and 5521 is associative

LCM of 5521 and 5526 = LCM of 5526 and 5521

Related Least Common Multiples of 5521

Related Least Common Multiples of 5526

Frequently Asked Questions on LCM of 5521 and 5526

1. What is the LCM of 5521 and 5526?

Answer: LCM of 5521 and 5526 is 30509046.

2. What are the Factors of 5521?

Answer: Factors of 5521 are 1, 5521. There are 2 integers that are factors of 5521. The greatest factor of 5521 is 5521.

3. What are the Factors of 5526?

Answer: Factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526. There are 12 integers that are factors of 5526. The greatest factor of 5526 is 5526.

4. How to Find the LCM of 5521 and 5526?

Answer:

Least Common Multiple of 5521 and 5526 = 30509046

Step 1: Find the prime factorization of 5521

5521 = 5521

Step 2: Find the prime factorization of 5526

5526 = 2 x 3 x 3 x 307

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30509046 = 2 x 3 x 3 x 307 x 5521

Step 4: Therefore, the least common multiple of 5521 and 5526 is 30509046.