Least Common Multiple of 5519 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 5519 and 5520 the smallest integer that is 30464880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5519 and 5520 is 30464880.

LCM(5519,5520) = 30464880

LCM of 5519 and 5520

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

LCM of:
and

Least Common Multiple of 5519 and 5520

LCM of 5519 and 5520 is 30464880

Least common multiple can be found by multiplying the highest exponent prime factors of 5519 and 5520. First we will calculate the prime factors of 5519 and 5520.

Prime Factorization of 5519


5519 5519
1

Prime factors of 5519 are 5519. Prime factorization of 5519 in exponential form is:

5519 = 55191

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 5519 and 5520.

LCM(5519,5520) = 24×31×51×231×55191
LCM(5519,5520) = 30464880

Factors of 5519

List of positive integer factors of 5519 that divides 5519 without a remainder.

1, 5519

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 5519 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 5519 and 5520, than apply into the LCM equation.

GCF(5519,5520) = 1
LCM(5519,5520) = ( 5519 × 5520) / 1
LCM(5519,5520) = 30464880 / 1
LCM(5519,5520) = 30464880

Properties of LCM 5519 and 5520

(i) The LCM of 5520 and 5519 is associative

LCM of 5519 and 5520 = LCM of 5520 and 5519

Related Least Common Multiples of 5519

Related Least Common Multiples of 5520

Frequently Asked Questions on LCM of 5519 and 5520

1. What is the LCM of 5519 and 5520?

Answer: LCM of 5519 and 5520 is 30464880.

2. What are the Factors of 5519?

Answer: Factors of 5519 are 1, 5519. There are 2 integers that are factors of 5519. The greatest factor of 5519 is 5519.

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 5519 and 5520?

Answer:

Least Common Multiple of 5519 and 5520 = 30464880

Step 1: Find the prime factorization of 5519

5519 = 5519

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 = 30464880 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 5519

Step 4: Therefore, the least common multiple of 5519 and 5520 is 30464880.