Least Common Multiple of 5512 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 5512 and 5518 the smallest integer that is 15207608 that is divisible by both numbers.

Least Common Multiple (LCM) of 5512 and 5518 is 15207608.

LCM(5512,5518) = 15207608

LCM of 5512 and 5518

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

LCM of:
and

Least Common Multiple of 5512 and 5518

LCM of 5512 and 5518 is 15207608

Least common multiple can be found by multiplying the highest exponent prime factors of 5512 and 5518. First we will calculate the prime factors of 5512 and 5518.

Prime Factorization of 5512


2 5512
2 2756
2 1378
13 689
53 53
1

Prime factors of 5512 are 2, 13,53. Prime factorization of 5512 in exponential form is:

5512 = 23×131×531

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 5512 and 5518.

LCM(5512,5518) = 23×131×311×531×891
LCM(5512,5518) = 15207608

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512

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 5512 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 5512 and 5518, than apply into the LCM equation.

GCF(5512,5518) = 2
LCM(5512,5518) = ( 5512 × 5518) / 2
LCM(5512,5518) = 30415216 / 2
LCM(5512,5518) = 15207608

Properties of LCM 5512 and 5518

(i) The LCM of 5518 and 5512 is associative

LCM of 5512 and 5518 = LCM of 5518 and 5512

Related Least Common Multiples of 5512

Related Least Common Multiples of 5518

Frequently Asked Questions on LCM of 5512 and 5518

1. What is the LCM of 5512 and 5518?

Answer: LCM of 5512 and 5518 is 15207608.

2. What are the Factors of 5512?

Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.

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 5512 and 5518?

Answer:

Least Common Multiple of 5512 and 5518 = 15207608

Step 1: Find the prime factorization of 5512

5512 = 2 x 2 x 2 x 13 x 53

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 = 15207608 = 2 x 2 x 2 x 13 x 31 x 53 x 89

Step 4: Therefore, the least common multiple of 5512 and 5518 is 15207608.