Least Common Multiple of 2497 and 2505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2497 and 2505 the smallest integer that is 6254985 that is divisible by both numbers.

Least Common Multiple (LCM) of 2497 and 2505 is 6254985.

LCM(2497,2505) = 6254985

LCM of 2497 and 2505

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

LCM of:
and

Least Common Multiple of 2497 and 2505

LCM of 2497 and 2505 is 6254985

Least common multiple can be found by multiplying the highest exponent prime factors of 2497 and 2505. First we will calculate the prime factors of 2497 and 2505.

Prime Factorization of 2497


11 2497
227 227
1

Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:

2497 = 111×2271

Prime Factorization of 2505


3 2505
5 835
167 167
1

Prime factors of 2505 are 3, 5,167. Prime factorization of 2505 in exponential form is:

2505 = 31×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2497 and 2505.

LCM(2497,2505) = 31×51×111×1671×2271
LCM(2497,2505) = 6254985

Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1, 11, 227, 2497

Factors of 2505

List of positive integer factors of 2505 that divides 2505 without a remainder.

1, 3, 5, 15, 167, 501, 835, 2505

Least Common Multiple of 2497 and 2505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2497 and 2505, than apply into the LCM equation.

GCF(2497,2505) = 1
LCM(2497,2505) = ( 2497 × 2505) / 1
LCM(2497,2505) = 6254985 / 1
LCM(2497,2505) = 6254985

Properties of LCM 2497 and 2505

(i) The LCM of 2505 and 2497 is associative

LCM of 2497 and 2505 = LCM of 2505 and 2497

Related Least Common Multiples of 2497

Related Least Common Multiples of 2505

Frequently Asked Questions on LCM of 2497 and 2505

1. What is the LCM of 2497 and 2505?

Answer: LCM of 2497 and 2505 is 6254985.

2. What are the Factors of 2497?

Answer: Factors of 2497 are 1, 11, 227, 2497. There are 4 integers that are factors of 2497. The greatest factor of 2497 is 2497.

3. What are the Factors of 2505?

Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.

4. How to Find the LCM of 2497 and 2505?

Answer:

Least Common Multiple of 2497 and 2505 = 6254985

Step 1: Find the prime factorization of 2497

2497 = 11 x 227

Step 2: Find the prime factorization of 2505

2505 = 3 x 5 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 = 6254985 = 3 x 5 x 11 x 167 x 227

Step 4: Therefore, the least common multiple of 2497 and 2505 is 6254985.