Least Common Multiple of 7514 and 7522

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 7522 the smallest integer that is 28260154 that is divisible by both numbers.

Least Common Multiple (LCM) of 7514 and 7522 is 28260154.

LCM(7514,7522) = 28260154

LCM of 7514 and 7522

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

LCM of:
and

Least Common Multiple of 7514 and 7522

LCM of 7514 and 7522 is 28260154

Least common multiple can be found by multiplying the highest exponent prime factors of 7514 and 7522. First we will calculate the prime factors of 7514 and 7522.

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 7522


2 7522
3761 3761
1

Prime factors of 7522 are 2,3761. Prime factorization of 7522 in exponential form is:

7522 = 21×37611

Now multiplying the highest exponent prime factors to calculate the LCM of 7514 and 7522.

LCM(7514,7522) = 21×131×172×37611
LCM(7514,7522) = 28260154

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 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1, 2, 3761, 7522

Least Common Multiple of 7514 and 7522 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 7522, than apply into the LCM equation.

GCF(7514,7522) = 2
LCM(7514,7522) = ( 7514 × 7522) / 2
LCM(7514,7522) = 56520308 / 2
LCM(7514,7522) = 28260154

Properties of LCM 7514 and 7522

(i) The LCM of 7522 and 7514 is associative

LCM of 7514 and 7522 = LCM of 7522 and 7514

Related Least Common Multiples of 7514

Related Least Common Multiples of 7522

Frequently Asked Questions on LCM of 7514 and 7522

1. What is the LCM of 7514 and 7522?

Answer: LCM of 7514 and 7522 is 28260154.

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 7522?

Answer: Factors of 7522 are 1, 2, 3761, 7522. There are 4 integers that are factors of 7522. The greatest factor of 7522 is 7522.

4. How to Find the LCM of 7514 and 7522?

Answer:

Least Common Multiple of 7514 and 7522 = 28260154

Step 1: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

Step 2: Find the prime factorization of 7522

7522 = 2 x 3761

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

LCM = 28260154 = 2 x 13 x 17 x 17 x 3761

Step 4: Therefore, the least common multiple of 7514 and 7522 is 28260154.