Least Common Multiple of 5573 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 5573 and 5580 the smallest integer that is 31097340 that is divisible by both numbers.

Least Common Multiple (LCM) of 5573 and 5580 is 31097340.

LCM(5573,5580) = 31097340

LCM of 5573 and 5580

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

LCM of:
and

Least Common Multiple of 5573 and 5580

LCM of 5573 and 5580 is 31097340

Least common multiple can be found by multiplying the highest exponent prime factors of 5573 and 5580. First we will calculate the prime factors of 5573 and 5580.

Prime Factorization of 5573


5573 5573
1

Prime factors of 5573 are 5573. Prime factorization of 5573 in exponential form is:

5573 = 55731

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 5573 and 5580.

LCM(5573,5580) = 22×32×51×311×55731
LCM(5573,5580) = 31097340

Factors of 5573

List of positive integer factors of 5573 that divides 5573 without a remainder.

1, 5573

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 5573 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 5573 and 5580, than apply into the LCM equation.

GCF(5573,5580) = 1
LCM(5573,5580) = ( 5573 × 5580) / 1
LCM(5573,5580) = 31097340 / 1
LCM(5573,5580) = 31097340

Properties of LCM 5573 and 5580

(i) The LCM of 5580 and 5573 is associative

LCM of 5573 and 5580 = LCM of 5580 and 5573

Related Least Common Multiples of 5573

Related Least Common Multiples of 5580

Frequently Asked Questions on LCM of 5573 and 5580

1. What is the LCM of 5573 and 5580?

Answer: LCM of 5573 and 5580 is 31097340.

2. What are the Factors of 5573?

Answer: Factors of 5573 are 1, 5573. There are 2 integers that are factors of 5573. The greatest factor of 5573 is 5573.

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 5573 and 5580?

Answer:

Least Common Multiple of 5573 and 5580 = 31097340

Step 1: Find the prime factorization of 5573

5573 = 5573

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 = 31097340 = 2 x 2 x 3 x 3 x 5 x 31 x 5573

Step 4: Therefore, the least common multiple of 5573 and 5580 is 31097340.