Least Common Multiple of 5503 and 5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5503 and 5511 the smallest integer that is 30327033 that is divisible by both numbers.

Least Common Multiple (LCM) of 5503 and 5511 is 30327033.

LCM(5503,5511) = 30327033

LCM of 5503 and 5511

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

LCM of:
and

Least Common Multiple of 5503 and 5511

LCM of 5503 and 5511 is 30327033

Least common multiple can be found by multiplying the highest exponent prime factors of 5503 and 5511. First we will calculate the prime factors of 5503 and 5511.

Prime Factorization of 5503


5503 5503
1

Prime factors of 5503 are 5503. Prime factorization of 5503 in exponential form is:

5503 = 55031

Prime Factorization of 5511


3 5511
11 1837
167 167
1

Prime factors of 5511 are 3, 11,167. Prime factorization of 5511 in exponential form is:

5511 = 31×111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5503 and 5511.

LCM(5503,5511) = 31×111×1671×55031
LCM(5503,5511) = 30327033

Factors of 5503

List of positive integer factors of 5503 that divides 5503 without a remainder.

1, 5503

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1, 3, 11, 33, 167, 501, 1837, 5511

Least Common Multiple of 5503 and 5511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5503 and 5511, than apply into the LCM equation.

GCF(5503,5511) = 1
LCM(5503,5511) = ( 5503 × 5511) / 1
LCM(5503,5511) = 30327033 / 1
LCM(5503,5511) = 30327033

Properties of LCM 5503 and 5511

(i) The LCM of 5511 and 5503 is associative

LCM of 5503 and 5511 = LCM of 5511 and 5503

Related Least Common Multiples of 5503

Related Least Common Multiples of 5511

Frequently Asked Questions on LCM of 5503 and 5511

1. What is the LCM of 5503 and 5511?

Answer: LCM of 5503 and 5511 is 30327033.

2. What are the Factors of 5503?

Answer: Factors of 5503 are 1, 5503. There are 2 integers that are factors of 5503. The greatest factor of 5503 is 5503.

3. What are the Factors of 5511?

Answer: Factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511. There are 8 integers that are factors of 5511. The greatest factor of 5511 is 5511.

4. How to Find the LCM of 5503 and 5511?

Answer:

Least Common Multiple of 5503 and 5511 = 30327033

Step 1: Find the prime factorization of 5503

5503 = 5503

Step 2: Find the prime factorization of 5511

5511 = 3 x 11 x 167

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

LCM = 30327033 = 3 x 11 x 167 x 5503

Step 4: Therefore, the least common multiple of 5503 and 5511 is 30327033.