Least Common Multiple of 2510 and 2514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2510 and 2514 the smallest integer that is 3155070 that is divisible by both numbers.

Least Common Multiple (LCM) of 2510 and 2514 is 3155070.

LCM(2510,2514) = 3155070

LCM of 2510 and 2514

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

LCM of:
and

Least Common Multiple of 2510 and 2514

LCM of 2510 and 2514 is 3155070

Least common multiple can be found by multiplying the highest exponent prime factors of 2510 and 2514. First we will calculate the prime factors of 2510 and 2514.

Prime Factorization of 2510


2 2510
5 1255
251 251
1

Prime factors of 2510 are 2, 5,251. Prime factorization of 2510 in exponential form is:

2510 = 21×51×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2510 and 2514.

LCM(2510,2514) = 21×31×51×2511×4191
LCM(2510,2514) = 3155070

Factors of 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1, 2, 5, 10, 251, 502, 1255, 2510

Factors of 2514

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

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

Least Common Multiple of 2510 and 2514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2510 and 2514, than apply into the LCM equation.

GCF(2510,2514) = 2
LCM(2510,2514) = ( 2510 × 2514) / 2
LCM(2510,2514) = 6310140 / 2
LCM(2510,2514) = 3155070

Properties of LCM 2510 and 2514

(i) The LCM of 2514 and 2510 is associative

LCM of 2510 and 2514 = LCM of 2514 and 2510

Related Least Common Multiples of 2510

Related Least Common Multiples of 2514

Frequently Asked Questions on LCM of 2510 and 2514

1. What is the LCM of 2510 and 2514?

Answer: LCM of 2510 and 2514 is 3155070.

2. What are the Factors of 2510?

Answer: Factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510. There are 8 integers that are factors of 2510. The greatest factor of 2510 is 2510.

3. 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.

4. How to Find the LCM of 2510 and 2514?

Answer:

Least Common Multiple of 2510 and 2514 = 3155070

Step 1: Find the prime factorization of 2510

2510 = 2 x 5 x 251

Step 2: Find the prime factorization of 2514

2514 = 2 x 3 x 419

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

LCM = 3155070 = 2 x 3 x 5 x 251 x 419

Step 4: Therefore, the least common multiple of 2510 and 2514 is 3155070.