Least Common Multiple of 7514 and 7520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7514 and 7520 the smallest integer that is 28252640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7514 and 7520 is 28252640.

LCM(7514,7520) = 28252640

LCM of 7514 and 7520

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

LCM of:
and

Least Common Multiple of 7514 and 7520

LCM of 7514 and 7520 is 28252640

Least common multiple can be found by multiplying the highest exponent prime factors of 7514 and 7520. First we will calculate the prime factors of 7514 and 7520.

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

Prime Factorization of 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2, 5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7514 and 7520.

LCM(7514,7520) = 25×51×131×172×471
LCM(7514,7520) = 28252640

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

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520

Least Common Multiple of 7514 and 7520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7514 and 7520, than apply into the LCM equation.

GCF(7514,7520) = 2
LCM(7514,7520) = ( 7514 × 7520) / 2
LCM(7514,7520) = 56505280 / 2
LCM(7514,7520) = 28252640

Properties of LCM 7514 and 7520

(i) The LCM of 7520 and 7514 is associative

LCM of 7514 and 7520 = LCM of 7520 and 7514

Related Least Common Multiples of 7514

Related Least Common Multiples of 7520

Frequently Asked Questions on LCM of 7514 and 7520

1. What is the LCM of 7514 and 7520?

Answer: LCM of 7514 and 7520 is 28252640.

2. 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.

3. What are the Factors of 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

4. How to Find the LCM of 7514 and 7520?

Answer:

Least Common Multiple of 7514 and 7520 = 28252640

Step 1: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

Step 2: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

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

LCM = 28252640 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 17 x 17 x 47

Step 4: Therefore, the least common multiple of 7514 and 7520 is 28252640.