Least Common Multiple of 5504 and 5509

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 5509 the smallest integer that is 30321536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5504 and 5509 is 30321536.

LCM(5504,5509) = 30321536

LCM of 5504 and 5509

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

LCM of:
and

Least Common Multiple of 5504 and 5509

LCM of 5504 and 5509 is 30321536

Least common multiple can be found by multiplying the highest exponent prime factors of 5504 and 5509. First we will calculate the prime factors of 5504 and 5509.

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 5509


7 5509
787 787
1

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

5509 = 71×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 5504 and 5509.

LCM(5504,5509) = 27×71×431×7871
LCM(5504,5509) = 30321536

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 5509

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

1, 7, 787, 5509

Least Common Multiple of 5504 and 5509 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 5509, than apply into the LCM equation.

GCF(5504,5509) = 1
LCM(5504,5509) = ( 5504 × 5509) / 1
LCM(5504,5509) = 30321536 / 1
LCM(5504,5509) = 30321536

Properties of LCM 5504 and 5509

(i) The LCM of 5509 and 5504 is associative

LCM of 5504 and 5509 = LCM of 5509 and 5504

Related Least Common Multiples of 5504

Related Least Common Multiples of 5509

Frequently Asked Questions on LCM of 5504 and 5509

1. What is the LCM of 5504 and 5509?

Answer: LCM of 5504 and 5509 is 30321536.

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 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.

4. How to Find the LCM of 5504 and 5509?

Answer:

Least Common Multiple of 5504 and 5509 = 30321536

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 5509

5509 = 7 x 787

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

LCM = 30321536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 43 x 787

Step 4: Therefore, the least common multiple of 5504 and 5509 is 30321536.