Least Common Multiple of 5518 and 5524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5518 and 5524 the smallest integer that is 15240716 that is divisible by both numbers.

Least Common Multiple (LCM) of 5518 and 5524 is 15240716.

LCM(5518,5524) = 15240716

LCM of 5518 and 5524

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

LCM of:
and

Least Common Multiple of 5518 and 5524

LCM of 5518 and 5524 is 15240716

Least common multiple can be found by multiplying the highest exponent prime factors of 5518 and 5524. First we will calculate the prime factors of 5518 and 5524.

Prime Factorization of 5518


2 5518
31 2759
89 89
1

Prime factors of 5518 are 2, 31,89. Prime factorization of 5518 in exponential form is:

5518 = 21×311×891

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 5518 and 5524.

LCM(5518,5524) = 22×311×891×13811
LCM(5518,5524) = 15240716

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1, 2, 31, 62, 89, 178, 2759, 5518

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762, 5524

Least Common Multiple of 5518 and 5524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5518 and 5524, than apply into the LCM equation.

GCF(5518,5524) = 2
LCM(5518,5524) = ( 5518 × 5524) / 2
LCM(5518,5524) = 30481432 / 2
LCM(5518,5524) = 15240716

Properties of LCM 5518 and 5524

(i) The LCM of 5524 and 5518 is associative

LCM of 5518 and 5524 = LCM of 5524 and 5518

Related Least Common Multiples of 5518

Related Least Common Multiples of 5524

Frequently Asked Questions on LCM of 5518 and 5524

1. What is the LCM of 5518 and 5524?

Answer: LCM of 5518 and 5524 is 15240716.

2. What are the Factors of 5518?

Answer: Factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518. There are 8 integers that are factors of 5518. The greatest factor of 5518 is 5518.

3. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

4. How to Find the LCM of 5518 and 5524?

Answer:

Least Common Multiple of 5518 and 5524 = 15240716

Step 1: Find the prime factorization of 5518

5518 = 2 x 31 x 89

Step 2: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

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

LCM = 15240716 = 2 x 2 x 31 x 89 x 1381

Step 4: Therefore, the least common multiple of 5518 and 5524 is 15240716.