Least Common Multiple of 5515 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 5515 and 5520 the smallest integer that is 6088560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5515 and 5520 is 6088560.

LCM(5515,5520) = 6088560

LCM of 5515 and 5520

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

LCM of:
and

Least Common Multiple of 5515 and 5520

LCM of 5515 and 5520 is 6088560

Least common multiple can be found by multiplying the highest exponent prime factors of 5515 and 5520. First we will calculate the prime factors of 5515 and 5520.

Prime Factorization of 5515


5 5515
1103 1103
1

Prime factors of 5515 are 5,1103. Prime factorization of 5515 in exponential form is:

5515 = 51×11031

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 5515 and 5520.

LCM(5515,5520) = 24×31×51×231×11031
LCM(5515,5520) = 6088560

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1, 5, 1103, 5515

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 5515 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 5515 and 5520, than apply into the LCM equation.

GCF(5515,5520) = 5
LCM(5515,5520) = ( 5515 × 5520) / 5
LCM(5515,5520) = 30442800 / 5
LCM(5515,5520) = 6088560

Properties of LCM 5515 and 5520

(i) The LCM of 5520 and 5515 is associative

LCM of 5515 and 5520 = LCM of 5520 and 5515

Related Least Common Multiples of 5515

Related Least Common Multiples of 5520

Frequently Asked Questions on LCM of 5515 and 5520

1. What is the LCM of 5515 and 5520?

Answer: LCM of 5515 and 5520 is 6088560.

2. What are the Factors of 5515?

Answer: Factors of 5515 are 1, 5, 1103, 5515. There are 4 integers that are factors of 5515. The greatest factor of 5515 is 5515.

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 5515 and 5520?

Answer:

Least Common Multiple of 5515 and 5520 = 6088560

Step 1: Find the prime factorization of 5515

5515 = 5 x 1103

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 = 6088560 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 1103

Step 4: Therefore, the least common multiple of 5515 and 5520 is 6088560.