Least Common Multiple of 5516 and 5520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5516 and 5520 the smallest integer that is 7612080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5516 and 5520 is 7612080.

LCM(5516,5520) = 7612080

LCM of 5516 and 5520

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

LCM of:
and

Least Common Multiple of 5516 and 5520

LCM of 5516 and 5520 is 7612080

Least common multiple can be found by multiplying the highest exponent prime factors of 5516 and 5520. First we will calculate the prime factors of 5516 and 5520.

Prime Factorization of 5516


2 5516
2 2758
7 1379
197 197
1

Prime factors of 5516 are 2, 7,197. Prime factorization of 5516 in exponential form is:

5516 = 22×71×1971

Prime Factorization of 5520


2 5520
2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 5520 are 2, 3, 5,23. Prime factorization of 5520 in exponential form is:

5520 = 24×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5516 and 5520.

LCM(5516,5520) = 24×31×51×71×231×1971
LCM(5516,5520) = 7612080

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520

Least Common Multiple of 5516 and 5520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5516 and 5520, than apply into the LCM equation.

GCF(5516,5520) = 4
LCM(5516,5520) = ( 5516 × 5520) / 4
LCM(5516,5520) = 30448320 / 4
LCM(5516,5520) = 7612080

Properties of LCM 5516 and 5520

(i) The LCM of 5520 and 5516 is associative

LCM of 5516 and 5520 = LCM of 5520 and 5516

Related Least Common Multiples of 5516

Related Least Common Multiples of 5520

Frequently Asked Questions on LCM of 5516 and 5520

1. What is the LCM of 5516 and 5520?

Answer: LCM of 5516 and 5520 is 7612080.

2. What are the Factors of 5516?

Answer: Factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. There are 12 integers that are factors of 5516. The greatest factor of 5516 is 5516.

3. What are the Factors of 5520?

Answer: Factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520. There are 40 integers that are factors of 5520. The greatest factor of 5520 is 5520.

4. How to Find the LCM of 5516 and 5520?

Answer:

Least Common Multiple of 5516 and 5520 = 7612080

Step 1: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

Step 2: Find the prime factorization of 5520

5520 = 2 x 2 x 2 x 2 x 3 x 5 x 23

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

LCM = 7612080 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 197

Step 4: Therefore, the least common multiple of 5516 and 5520 is 7612080.