Least Common Multiple of 2514 and 2521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2514 and 2521 the smallest integer that is 6337794 that is divisible by both numbers.

Least Common Multiple (LCM) of 2514 and 2521 is 6337794.

LCM(2514,2521) = 6337794

LCM of 2514 and 2521

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

LCM of:
and

Least Common Multiple of 2514 and 2521

LCM of 2514 and 2521 is 6337794

Least common multiple can be found by multiplying the highest exponent prime factors of 2514 and 2521. First we will calculate the prime factors of 2514 and 2521.

Prime Factorization of 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2, 3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

Prime Factorization of 2521


2521 2521
1

Prime factors of 2521 are 2521. Prime factorization of 2521 in exponential form is:

2521 = 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 2514 and 2521.

LCM(2514,2521) = 21×31×4191×25211
LCM(2514,2521) = 6337794

Factors of 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1, 2, 3, 6, 419, 838, 1257, 2514

Factors of 2521

List of positive integer factors of 2521 that divides 2521 without a remainder.

1, 2521

Least Common Multiple of 2514 and 2521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2514 and 2521, than apply into the LCM equation.

GCF(2514,2521) = 1
LCM(2514,2521) = ( 2514 × 2521) / 1
LCM(2514,2521) = 6337794 / 1
LCM(2514,2521) = 6337794

Properties of LCM 2514 and 2521

(i) The LCM of 2521 and 2514 is associative

LCM of 2514 and 2521 = LCM of 2521 and 2514

Related Least Common Multiples of 2514

Related Least Common Multiples of 2521

Frequently Asked Questions on LCM of 2514 and 2521

1. What is the LCM of 2514 and 2521?

Answer: LCM of 2514 and 2521 is 6337794.

2. What are the Factors of 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

3. What are the Factors of 2521?

Answer: Factors of 2521 are 1, 2521. There are 2 integers that are factors of 2521. The greatest factor of 2521 is 2521.

4. How to Find the LCM of 2514 and 2521?

Answer:

Least Common Multiple of 2514 and 2521 = 6337794

Step 1: Find the prime factorization of 2514

2514 = 2 x 3 x 419

Step 2: Find the prime factorization of 2521

2521 = 2521

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

LCM = 6337794 = 2 x 3 x 419 x 2521

Step 4: Therefore, the least common multiple of 2514 and 2521 is 6337794.