Least Common Multiple of 5577 and 5583

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 5583 the smallest integer that is 10378797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5577 and 5583 is 10378797.

LCM(5577,5583) = 10378797

LCM of 5577 and 5583

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

LCM of:
and

Least Common Multiple of 5577 and 5583

LCM of 5577 and 5583 is 10378797

Least common multiple can be found by multiplying the highest exponent prime factors of 5577 and 5583. First we will calculate the prime factors of 5577 and 5583.

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 5583


3 5583
1861 1861
1

Prime factors of 5583 are 3,1861. Prime factorization of 5583 in exponential form is:

5583 = 31×18611

Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5583.

LCM(5577,5583) = 31×111×132×18611
LCM(5577,5583) = 10378797

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 5583

List of positive integer factors of 5583 that divides 5583 without a remainder.

1, 3, 1861, 5583

Least Common Multiple of 5577 and 5583 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 5583, than apply into the LCM equation.

GCF(5577,5583) = 3
LCM(5577,5583) = ( 5577 × 5583) / 3
LCM(5577,5583) = 31136391 / 3
LCM(5577,5583) = 10378797

Properties of LCM 5577 and 5583

(i) The LCM of 5583 and 5577 is associative

LCM of 5577 and 5583 = LCM of 5583 and 5577

Related Least Common Multiples of 5577

Related Least Common Multiples of 5583

Frequently Asked Questions on LCM of 5577 and 5583

1. What is the LCM of 5577 and 5583?

Answer: LCM of 5577 and 5583 is 10378797.

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 5583?

Answer: Factors of 5583 are 1, 3, 1861, 5583. There are 4 integers that are factors of 5583. The greatest factor of 5583 is 5583.

4. How to Find the LCM of 5577 and 5583?

Answer:

Least Common Multiple of 5577 and 5583 = 10378797

Step 1: Find the prime factorization of 5577

5577 = 3 x 11 x 13 x 13

Step 2: Find the prime factorization of 5583

5583 = 3 x 1861

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

LCM = 10378797 = 3 x 11 x 13 x 13 x 1861

Step 4: Therefore, the least common multiple of 5577 and 5583 is 10378797.