Least Common Multiple of 5574 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 5574 and 5580 the smallest integer that is 5183820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5574 and 5580 is 5183820.

LCM(5574,5580) = 5183820

LCM of 5574 and 5580

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

LCM of:
and

Least Common Multiple of 5574 and 5580

LCM of 5574 and 5580 is 5183820

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5580. First we will calculate the prime factors of 5574 and 5580.

Prime Factorization of 5574


2 5574
3 2787
929 929
1

Prime factors of 5574 are 2, 3,929. Prime factorization of 5574 in exponential form is:

5574 = 21×31×9291

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 5574 and 5580.

LCM(5574,5580) = 22×32×51×311×9291
LCM(5574,5580) = 5183820

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787, 5574

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 5574 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 5574 and 5580, than apply into the LCM equation.

GCF(5574,5580) = 6
LCM(5574,5580) = ( 5574 × 5580) / 6
LCM(5574,5580) = 31102920 / 6
LCM(5574,5580) = 5183820

Properties of LCM 5574 and 5580

(i) The LCM of 5580 and 5574 is associative

LCM of 5574 and 5580 = LCM of 5580 and 5574

Related Least Common Multiples of 5574

Related Least Common Multiples of 5580

Frequently Asked Questions on LCM of 5574 and 5580

1. What is the LCM of 5574 and 5580?

Answer: LCM of 5574 and 5580 is 5183820.

2. What are the Factors of 5574?

Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.

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 5574 and 5580?

Answer:

Least Common Multiple of 5574 and 5580 = 5183820

Step 1: Find the prime factorization of 5574

5574 = 2 x 3 x 929

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 = 5183820 = 2 x 2 x 3 x 3 x 5 x 31 x 929

Step 4: Therefore, the least common multiple of 5574 and 5580 is 5183820.