Least Common Multiple of 7514 and 7521

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 7521 the smallest integer that is 56512794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7514 and 7521 is 56512794.

LCM(7514,7521) = 56512794

LCM of 7514 and 7521

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

LCM of:
and

Least Common Multiple of 7514 and 7521

LCM of 7514 and 7521 is 56512794

Least common multiple can be found by multiplying the highest exponent prime factors of 7514 and 7521. First we will calculate the prime factors of 7514 and 7521.

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 7521


3 7521
23 2507
109 109
1

Prime factors of 7521 are 3, 23,109. Prime factorization of 7521 in exponential form is:

7521 = 31×231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7514 and 7521.

LCM(7514,7521) = 21×31×131×172×231×1091
LCM(7514,7521) = 56512794

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 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1, 3, 23, 69, 109, 327, 2507, 7521

Least Common Multiple of 7514 and 7521 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 7521, than apply into the LCM equation.

GCF(7514,7521) = 1
LCM(7514,7521) = ( 7514 × 7521) / 1
LCM(7514,7521) = 56512794 / 1
LCM(7514,7521) = 56512794

Properties of LCM 7514 and 7521

(i) The LCM of 7521 and 7514 is associative

LCM of 7514 and 7521 = LCM of 7521 and 7514

Related Least Common Multiples of 7514

Related Least Common Multiples of 7521

Frequently Asked Questions on LCM of 7514 and 7521

1. What is the LCM of 7514 and 7521?

Answer: LCM of 7514 and 7521 is 56512794.

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 7521?

Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.

4. How to Find the LCM of 7514 and 7521?

Answer:

Least Common Multiple of 7514 and 7521 = 56512794

Step 1: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

Step 2: Find the prime factorization of 7521

7521 = 3 x 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 = 56512794 = 2 x 3 x 13 x 17 x 17 x 23 x 109

Step 4: Therefore, the least common multiple of 7514 and 7521 is 56512794.