Least Common Multiple of 5509 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 5509 and 5511 the smallest integer that is 30360099 that is divisible by both numbers.

Least Common Multiple (LCM) of 5509 and 5511 is 30360099.

LCM(5509,5511) = 30360099

LCM of 5509 and 5511

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

LCM of:
and

Least Common Multiple of 5509 and 5511

LCM of 5509 and 5511 is 30360099

Least common multiple can be found by multiplying the highest exponent prime factors of 5509 and 5511. First we will calculate the prime factors of 5509 and 5511.

Prime Factorization of 5509


7 5509
787 787
1

Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:

5509 = 71×7871

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 5509 and 5511.

LCM(5509,5511) = 31×71×111×1671×7871
LCM(5509,5511) = 30360099

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1, 7, 787, 5509

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 5509 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 5509 and 5511, than apply into the LCM equation.

GCF(5509,5511) = 1
LCM(5509,5511) = ( 5509 × 5511) / 1
LCM(5509,5511) = 30360099 / 1
LCM(5509,5511) = 30360099

Properties of LCM 5509 and 5511

(i) The LCM of 5511 and 5509 is associative

LCM of 5509 and 5511 = LCM of 5511 and 5509

Related Least Common Multiples of 5509

Related Least Common Multiples of 5511

Frequently Asked Questions on LCM of 5509 and 5511

1. What is the LCM of 5509 and 5511?

Answer: LCM of 5509 and 5511 is 30360099.

2. What are the Factors of 5509?

Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.

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 5509 and 5511?

Answer:

Least Common Multiple of 5509 and 5511 = 30360099

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

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 = 30360099 = 3 x 7 x 11 x 167 x 787

Step 4: Therefore, the least common multiple of 5509 and 5511 is 30360099.