Least Common Multiple of 5497 and 5504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5497 and 5504 the smallest integer that is 30255488 that is divisible by both numbers.

Least Common Multiple (LCM) of 5497 and 5504 is 30255488.

LCM(5497,5504) = 30255488

LCM of 5497 and 5504

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

LCM of:
and

Least Common Multiple of 5497 and 5504

LCM of 5497 and 5504 is 30255488

Least common multiple can be found by multiplying the highest exponent prime factors of 5497 and 5504. First we will calculate the prime factors of 5497 and 5504.

Prime Factorization of 5497


23 5497
239 239
1

Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:

5497 = 231×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5497 and 5504.

LCM(5497,5504) = 27×231×431×2391
LCM(5497,5504) = 30255488

Factors of 5497

List of positive integer factors of 5497 that divides 5497 without a remainder.

1, 23, 239, 5497

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

Least Common Multiple of 5497 and 5504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5497 and 5504, than apply into the LCM equation.

GCF(5497,5504) = 1
LCM(5497,5504) = ( 5497 × 5504) / 1
LCM(5497,5504) = 30255488 / 1
LCM(5497,5504) = 30255488

Properties of LCM 5497 and 5504

(i) The LCM of 5504 and 5497 is associative

LCM of 5497 and 5504 = LCM of 5504 and 5497

Related Least Common Multiples of 5497

Related Least Common Multiples of 5504

Frequently Asked Questions on LCM of 5497 and 5504

1. What is the LCM of 5497 and 5504?

Answer: LCM of 5497 and 5504 is 30255488.

2. What are the Factors of 5497?

Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.

3. 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.

4. How to Find the LCM of 5497 and 5504?

Answer:

Least Common Multiple of 5497 and 5504 = 30255488

Step 1: Find the prime factorization of 5497

5497 = 23 x 239

Step 2: Find the prime factorization of 5504

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

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

LCM = 30255488 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 43 x 239

Step 4: Therefore, the least common multiple of 5497 and 5504 is 30255488.