Least Common Multiple of 5577 and 5580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5577 and 5580 the smallest integer that is 10373220 that is divisible by both numbers.

Least Common Multiple (LCM) of 5577 and 5580 is 10373220.

LCM(5577,5580) = 10373220

LCM of 5577 and 5580

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

LCM of:
and

Least Common Multiple of 5577 and 5580

LCM of 5577 and 5580 is 10373220

Least common multiple can be found by multiplying the highest exponent prime factors of 5577 and 5580. First we will calculate the prime factors of 5577 and 5580.

Prime Factorization of 5577


3 5577
11 1859
13 169
13 13
1

Prime factors of 5577 are 3, 11,13. Prime factorization of 5577 in exponential form is:

5577 = 31×111×132

Prime Factorization of 5580


2 5580
2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 5580 are 2, 3, 5,31. Prime factorization of 5580 in exponential form is:

5580 = 22×32×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5580.

LCM(5577,5580) = 22×32×51×111×132×311
LCM(5577,5580) = 10373220

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580

Least Common Multiple of 5577 and 5580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5577 and 5580, than apply into the LCM equation.

GCF(5577,5580) = 3
LCM(5577,5580) = ( 5577 × 5580) / 3
LCM(5577,5580) = 31119660 / 3
LCM(5577,5580) = 10373220

Properties of LCM 5577 and 5580

(i) The LCM of 5580 and 5577 is associative

LCM of 5577 and 5580 = LCM of 5580 and 5577

Related Least Common Multiples of 5577

Related Least Common Multiples of 5580

Frequently Asked Questions on LCM of 5577 and 5580

1. What is the LCM of 5577 and 5580?

Answer: LCM of 5577 and 5580 is 10373220.

2. What are the Factors of 5577?

Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.

3. What are the Factors of 5580?

Answer: Factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580. There are 36 integers that are factors of 5580. The greatest factor of 5580 is 5580.

4. How to Find the LCM of 5577 and 5580?

Answer:

Least Common Multiple of 5577 and 5580 = 10373220

Step 1: Find the prime factorization of 5577

5577 = 3 x 11 x 13 x 13

Step 2: Find the prime factorization of 5580

5580 = 2 x 2 x 3 x 3 x 5 x 31

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

LCM = 10373220 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 13 x 31

Step 4: Therefore, the least common multiple of 5577 and 5580 is 10373220.