Least Common Multiple of 5497 and 5501

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 5501 the smallest integer that is 30238997 that is divisible by both numbers.

Least Common Multiple (LCM) of 5497 and 5501 is 30238997.

LCM(5497,5501) = 30238997

LCM of 5497 and 5501

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

LCM of:
and

Least Common Multiple of 5497 and 5501

LCM of 5497 and 5501 is 30238997

Least common multiple can be found by multiplying the highest exponent prime factors of 5497 and 5501. First we will calculate the prime factors of 5497 and 5501.

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 5501


5501 5501
1

Prime factors of 5501 are 5501. Prime factorization of 5501 in exponential form is:

5501 = 55011

Now multiplying the highest exponent prime factors to calculate the LCM of 5497 and 5501.

LCM(5497,5501) = 231×2391×55011
LCM(5497,5501) = 30238997

Factors of 5497

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

1, 23, 239, 5497

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1, 5501

Least Common Multiple of 5497 and 5501 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 5501, than apply into the LCM equation.

GCF(5497,5501) = 1
LCM(5497,5501) = ( 5497 × 5501) / 1
LCM(5497,5501) = 30238997 / 1
LCM(5497,5501) = 30238997

Properties of LCM 5497 and 5501

(i) The LCM of 5501 and 5497 is associative

LCM of 5497 and 5501 = LCM of 5501 and 5497

Related Least Common Multiples of 5497

Related Least Common Multiples of 5501

Frequently Asked Questions on LCM of 5497 and 5501

1. What is the LCM of 5497 and 5501?

Answer: LCM of 5497 and 5501 is 30238997.

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 5501?

Answer: Factors of 5501 are 1, 5501. There are 2 integers that are factors of 5501. The greatest factor of 5501 is 5501.

4. How to Find the LCM of 5497 and 5501?

Answer:

Least Common Multiple of 5497 and 5501 = 30238997

Step 1: Find the prime factorization of 5497

5497 = 23 x 239

Step 2: Find the prime factorization of 5501

5501 = 5501

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

LCM = 30238997 = 23 x 239 x 5501

Step 4: Therefore, the least common multiple of 5497 and 5501 is 30238997.