Least Common Multiple of 5513 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 5513 and 5520 the smallest integer that is 30431760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5513 and 5520 is 30431760.

LCM(5513,5520) = 30431760

LCM of 5513 and 5520

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

LCM of:
and

Least Common Multiple of 5513 and 5520

LCM of 5513 and 5520 is 30431760

Least common multiple can be found by multiplying the highest exponent prime factors of 5513 and 5520. First we will calculate the prime factors of 5513 and 5520.

Prime Factorization of 5513


37 5513
149 149
1

Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:

5513 = 371×1491

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 5513 and 5520.

LCM(5513,5520) = 24×31×51×231×371×1491
LCM(5513,5520) = 30431760

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1, 37, 149, 5513

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 5513 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 5513 and 5520, than apply into the LCM equation.

GCF(5513,5520) = 1
LCM(5513,5520) = ( 5513 × 5520) / 1
LCM(5513,5520) = 30431760 / 1
LCM(5513,5520) = 30431760

Properties of LCM 5513 and 5520

(i) The LCM of 5520 and 5513 is associative

LCM of 5513 and 5520 = LCM of 5520 and 5513

Related Least Common Multiples of 5513

Related Least Common Multiples of 5520

Frequently Asked Questions on LCM of 5513 and 5520

1. What is the LCM of 5513 and 5520?

Answer: LCM of 5513 and 5520 is 30431760.

2. What are the Factors of 5513?

Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.

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 5513 and 5520?

Answer:

Least Common Multiple of 5513 and 5520 = 30431760

Step 1: Find the prime factorization of 5513

5513 = 37 x 149

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 = 30431760 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 37 x 149

Step 4: Therefore, the least common multiple of 5513 and 5520 is 30431760.