Least Common Multiple of 2502 and 2507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2502 and 2507 the smallest integer that is 6272514 that is divisible by both numbers.

Least Common Multiple (LCM) of 2502 and 2507 is 6272514.

LCM(2502,2507) = 6272514

LCM of 2502 and 2507

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

LCM of:
and

Least Common Multiple of 2502 and 2507

LCM of 2502 and 2507 is 6272514

Least common multiple can be found by multiplying the highest exponent prime factors of 2502 and 2507. First we will calculate the prime factors of 2502 and 2507.

Prime Factorization of 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2, 3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

Prime Factorization of 2507


23 2507
109 109
1

Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:

2507 = 231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2502 and 2507.

LCM(2502,2507) = 21×32×231×1091×1391
LCM(2502,2507) = 6272514

Factors of 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1, 23, 109, 2507

Least Common Multiple of 2502 and 2507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2502 and 2507, than apply into the LCM equation.

GCF(2502,2507) = 1
LCM(2502,2507) = ( 2502 × 2507) / 1
LCM(2502,2507) = 6272514 / 1
LCM(2502,2507) = 6272514

Properties of LCM 2502 and 2507

(i) The LCM of 2507 and 2502 is associative

LCM of 2502 and 2507 = LCM of 2507 and 2502

Related Least Common Multiples of 2502

Related Least Common Multiples of 2507

Frequently Asked Questions on LCM of 2502 and 2507

1. What is the LCM of 2502 and 2507?

Answer: LCM of 2502 and 2507 is 6272514.

2. What are the Factors of 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

3. What are the Factors of 2507?

Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.

4. How to Find the LCM of 2502 and 2507?

Answer:

Least Common Multiple of 2502 and 2507 = 6272514

Step 1: Find the prime factorization of 2502

2502 = 2 x 3 x 3 x 139

Step 2: Find the prime factorization of 2507

2507 = 23 x 109

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

LCM = 6272514 = 2 x 3 x 3 x 23 x 109 x 139

Step 4: Therefore, the least common multiple of 2502 and 2507 is 6272514.