Least Common Multiple of 2490 and 2497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2490 and 2497 the smallest integer that is 6217530 that is divisible by both numbers.

Least Common Multiple (LCM) of 2490 and 2497 is 6217530.

LCM(2490,2497) = 6217530

LCM of 2490 and 2497

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

LCM of:
and

Least Common Multiple of 2490 and 2497

LCM of 2490 and 2497 is 6217530

Least common multiple can be found by multiplying the highest exponent prime factors of 2490 and 2497. First we will calculate the prime factors of 2490 and 2497.

Prime Factorization of 2490


2 2490
3 1245
5 415
83 83
1

Prime factors of 2490 are 2, 3, 5,83. Prime factorization of 2490 in exponential form is:

2490 = 21×31×51×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2490 and 2497.

LCM(2490,2497) = 21×31×51×111×831×2271
LCM(2490,2497) = 6217530

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490

Factors of 2497

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

1, 11, 227, 2497

Least Common Multiple of 2490 and 2497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2490 and 2497, than apply into the LCM equation.

GCF(2490,2497) = 1
LCM(2490,2497) = ( 2490 × 2497) / 1
LCM(2490,2497) = 6217530 / 1
LCM(2490,2497) = 6217530

Properties of LCM 2490 and 2497

(i) The LCM of 2497 and 2490 is associative

LCM of 2490 and 2497 = LCM of 2497 and 2490

Related Least Common Multiples of 2490

Related Least Common Multiples of 2497

Frequently Asked Questions on LCM of 2490 and 2497

1. What is the LCM of 2490 and 2497?

Answer: LCM of 2490 and 2497 is 6217530.

2. What are the Factors of 2490?

Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.

3. 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.

4. How to Find the LCM of 2490 and 2497?

Answer:

Least Common Multiple of 2490 and 2497 = 6217530

Step 1: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

Step 2: Find the prime factorization of 2497

2497 = 11 x 227

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

LCM = 6217530 = 2 x 3 x 5 x 11 x 83 x 227

Step 4: Therefore, the least common multiple of 2490 and 2497 is 6217530.