Least Common Multiple of 5514 and 5518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5514 and 5518 the smallest integer that is 15213126 that is divisible by both numbers.

Least Common Multiple (LCM) of 5514 and 5518 is 15213126.

LCM(5514,5518) = 15213126

LCM of 5514 and 5518

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

LCM of:
and

Least Common Multiple of 5514 and 5518

LCM of 5514 and 5518 is 15213126

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5518. First we will calculate the prime factors of 5514 and 5518.

Prime Factorization of 5514


2 5514
3 2757
919 919
1

Prime factors of 5514 are 2, 3,919. Prime factorization of 5514 in exponential form is:

5514 = 21×31×9191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5518.

LCM(5514,5518) = 21×31×311×891×9191
LCM(5514,5518) = 15213126

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1, 2, 3, 6, 919, 1838, 2757, 5514

Factors of 5518

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

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

Least Common Multiple of 5514 and 5518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5514 and 5518, than apply into the LCM equation.

GCF(5514,5518) = 2
LCM(5514,5518) = ( 5514 × 5518) / 2
LCM(5514,5518) = 30426252 / 2
LCM(5514,5518) = 15213126

Properties of LCM 5514 and 5518

(i) The LCM of 5518 and 5514 is associative

LCM of 5514 and 5518 = LCM of 5518 and 5514

Related Least Common Multiples of 5514

Related Least Common Multiples of 5518

Frequently Asked Questions on LCM of 5514 and 5518

1. What is the LCM of 5514 and 5518?

Answer: LCM of 5514 and 5518 is 15213126.

2. What are the Factors of 5514?

Answer: Factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514. There are 8 integers that are factors of 5514. The greatest factor of 5514 is 5514.

3. 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.

4. How to Find the LCM of 5514 and 5518?

Answer:

Least Common Multiple of 5514 and 5518 = 15213126

Step 1: Find the prime factorization of 5514

5514 = 2 x 3 x 919

Step 2: Find the prime factorization of 5518

5518 = 2 x 31 x 89

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

LCM = 15213126 = 2 x 3 x 31 x 89 x 919

Step 4: Therefore, the least common multiple of 5514 and 5518 is 15213126.