Least Common Multiple of 7518 and 7526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7518 and 7526 the smallest integer that is 28290234 that is divisible by both numbers.

Least Common Multiple (LCM) of 7518 and 7526 is 28290234.

LCM(7518,7526) = 28290234

LCM of 7518 and 7526

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

LCM of:
and

Least Common Multiple of 7518 and 7526

LCM of 7518 and 7526 is 28290234

Least common multiple can be found by multiplying the highest exponent prime factors of 7518 and 7526. First we will calculate the prime factors of 7518 and 7526.

Prime Factorization of 7518


2 7518
3 3759
7 1253
179 179
1

Prime factors of 7518 are 2, 3, 7,179. Prime factorization of 7518 in exponential form is:

7518 = 21×31×71×1791

Prime Factorization of 7526


2 7526
53 3763
71 71
1

Prime factors of 7526 are 2, 53,71. Prime factorization of 7526 in exponential form is:

7526 = 21×531×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7518 and 7526.

LCM(7518,7526) = 21×31×71×531×711×1791
LCM(7518,7526) = 28290234

Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1, 2, 53, 71, 106, 142, 3763, 7526

Least Common Multiple of 7518 and 7526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7518 and 7526, than apply into the LCM equation.

GCF(7518,7526) = 2
LCM(7518,7526) = ( 7518 × 7526) / 2
LCM(7518,7526) = 56580468 / 2
LCM(7518,7526) = 28290234

Properties of LCM 7518 and 7526

(i) The LCM of 7526 and 7518 is associative

LCM of 7518 and 7526 = LCM of 7526 and 7518

Related Least Common Multiples of 7518

Related Least Common Multiples of 7526

Frequently Asked Questions on LCM of 7518 and 7526

1. What is the LCM of 7518 and 7526?

Answer: LCM of 7518 and 7526 is 28290234.

2. What are the Factors of 7518?

Answer: Factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518. There are 16 integers that are factors of 7518. The greatest factor of 7518 is 7518.

3. What are the Factors of 7526?

Answer: Factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526. There are 8 integers that are factors of 7526. The greatest factor of 7526 is 7526.

4. How to Find the LCM of 7518 and 7526?

Answer:

Least Common Multiple of 7518 and 7526 = 28290234

Step 1: Find the prime factorization of 7518

7518 = 2 x 3 x 7 x 179

Step 2: Find the prime factorization of 7526

7526 = 2 x 53 x 71

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

LCM = 28290234 = 2 x 3 x 7 x 53 x 71 x 179

Step 4: Therefore, the least common multiple of 7518 and 7526 is 28290234.