Least Common Multiple of 5497 and 5505

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 5505 the smallest integer that is 30260985 that is divisible by both numbers.

Least Common Multiple (LCM) of 5497 and 5505 is 30260985.

LCM(5497,5505) = 30260985

LCM of 5497 and 5505

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

LCM of:
and

Least Common Multiple of 5497 and 5505

LCM of 5497 and 5505 is 30260985

Least common multiple can be found by multiplying the highest exponent prime factors of 5497 and 5505. First we will calculate the prime factors of 5497 and 5505.

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 5505


3 5505
5 1835
367 367
1

Prime factors of 5505 are 3, 5,367. Prime factorization of 5505 in exponential form is:

5505 = 31×51×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 5497 and 5505.

LCM(5497,5505) = 31×51×231×2391×3671
LCM(5497,5505) = 30260985

Factors of 5497

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

1, 23, 239, 5497

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1, 3, 5, 15, 367, 1101, 1835, 5505

Least Common Multiple of 5497 and 5505 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 5505, than apply into the LCM equation.

GCF(5497,5505) = 1
LCM(5497,5505) = ( 5497 × 5505) / 1
LCM(5497,5505) = 30260985 / 1
LCM(5497,5505) = 30260985

Properties of LCM 5497 and 5505

(i) The LCM of 5505 and 5497 is associative

LCM of 5497 and 5505 = LCM of 5505 and 5497

Related Least Common Multiples of 5497

Related Least Common Multiples of 5505

Frequently Asked Questions on LCM of 5497 and 5505

1. What is the LCM of 5497 and 5505?

Answer: LCM of 5497 and 5505 is 30260985.

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 5505?

Answer: Factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505. There are 8 integers that are factors of 5505. The greatest factor of 5505 is 5505.

4. How to Find the LCM of 5497 and 5505?

Answer:

Least Common Multiple of 5497 and 5505 = 30260985

Step 1: Find the prime factorization of 5497

5497 = 23 x 239

Step 2: Find the prime factorization of 5505

5505 = 3 x 5 x 367

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

LCM = 30260985 = 3 x 5 x 23 x 239 x 367

Step 4: Therefore, the least common multiple of 5497 and 5505 is 30260985.