Least Common Multiple of 7508 and 7514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7508 and 7514 the smallest integer that is 28207556 that is divisible by both numbers.

Least Common Multiple (LCM) of 7508 and 7514 is 28207556.

LCM(7508,7514) = 28207556

LCM of 7508 and 7514

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

LCM of:
and

Least Common Multiple of 7508 and 7514

LCM of 7508 and 7514 is 28207556

Least common multiple can be found by multiplying the highest exponent prime factors of 7508 and 7514. First we will calculate the prime factors of 7508 and 7514.

Prime Factorization of 7508


2 7508
2 3754
1877 1877
1

Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:

7508 = 22×18771

Prime Factorization of 7514


2 7514
13 3757
17 289
17 17
1

Prime factors of 7514 are 2, 13,17. Prime factorization of 7514 in exponential form is:

7514 = 21×131×172

Now multiplying the highest exponent prime factors to calculate the LCM of 7508 and 7514.

LCM(7508,7514) = 22×131×172×18771
LCM(7508,7514) = 28207556

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1, 2, 4, 1877, 3754, 7508

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757, 7514

Least Common Multiple of 7508 and 7514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7508 and 7514, than apply into the LCM equation.

GCF(7508,7514) = 2
LCM(7508,7514) = ( 7508 × 7514) / 2
LCM(7508,7514) = 56415112 / 2
LCM(7508,7514) = 28207556

Properties of LCM 7508 and 7514

(i) The LCM of 7514 and 7508 is associative

LCM of 7508 and 7514 = LCM of 7514 and 7508

Related Least Common Multiples of 7508

Related Least Common Multiples of 7514

Frequently Asked Questions on LCM of 7508 and 7514

1. What is the LCM of 7508 and 7514?

Answer: LCM of 7508 and 7514 is 28207556.

2. What are the Factors of 7508?

Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.

3. What are the Factors of 7514?

Answer: Factors of 7514 are 1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757, 7514. There are 12 integers that are factors of 7514. The greatest factor of 7514 is 7514.

4. How to Find the LCM of 7508 and 7514?

Answer:

Least Common Multiple of 7508 and 7514 = 28207556

Step 1: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

Step 2: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

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

LCM = 28207556 = 2 x 2 x 13 x 17 x 17 x 1877

Step 4: Therefore, the least common multiple of 7508 and 7514 is 28207556.