Least Common Multiple of 5504 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 5504 and 5511 the smallest integer that is 30332544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5504 and 5511 is 30332544.

LCM(5504,5511) = 30332544

LCM of 5504 and 5511

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

LCM of:
and

Least Common Multiple of 5504 and 5511

LCM of 5504 and 5511 is 30332544

Least common multiple can be found by multiplying the highest exponent prime factors of 5504 and 5511. First we will calculate the prime factors of 5504 and 5511.

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

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 5504 and 5511.

LCM(5504,5511) = 27×31×111×431×1671
LCM(5504,5511) = 30332544

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504

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 5504 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 5504 and 5511, than apply into the LCM equation.

GCF(5504,5511) = 1
LCM(5504,5511) = ( 5504 × 5511) / 1
LCM(5504,5511) = 30332544 / 1
LCM(5504,5511) = 30332544

Properties of LCM 5504 and 5511

(i) The LCM of 5511 and 5504 is associative

LCM of 5504 and 5511 = LCM of 5511 and 5504

Related Least Common Multiples of 5504

Related Least Common Multiples of 5511

Frequently Asked Questions on LCM of 5504 and 5511

1. What is the LCM of 5504 and 5511?

Answer: LCM of 5504 and 5511 is 30332544.

2. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

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 5504 and 5511?

Answer:

Least Common Multiple of 5504 and 5511 = 30332544

Step 1: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

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 = 30332544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 43 x 167

Step 4: Therefore, the least common multiple of 5504 and 5511 is 30332544.