Least Common Multiple of 5512 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 5512 and 5520 the smallest integer that is 3803280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5512 and 5520 is 3803280.

LCM(5512,5520) = 3803280

LCM of 5512 and 5520

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

LCM of:
and

Least Common Multiple of 5512 and 5520

LCM of 5512 and 5520 is 3803280

Least common multiple can be found by multiplying the highest exponent prime factors of 5512 and 5520. First we will calculate the prime factors of 5512 and 5520.

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 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 5512 and 5520.

LCM(5512,5520) = 24×31×51×131×231×531
LCM(5512,5520) = 3803280

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 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 5512 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 5512 and 5520, than apply into the LCM equation.

GCF(5512,5520) = 8
LCM(5512,5520) = ( 5512 × 5520) / 8
LCM(5512,5520) = 30426240 / 8
LCM(5512,5520) = 3803280

Properties of LCM 5512 and 5520

(i) The LCM of 5520 and 5512 is associative

LCM of 5512 and 5520 = LCM of 5520 and 5512

Related Least Common Multiples of 5512

Related Least Common Multiples of 5520

Frequently Asked Questions on LCM of 5512 and 5520

1. What is the LCM of 5512 and 5520?

Answer: LCM of 5512 and 5520 is 3803280.

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 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 5512 and 5520?

Answer:

Least Common Multiple of 5512 and 5520 = 3803280

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 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 = 3803280 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 5512 and 5520 is 3803280.