Least Common Multiple of 7512 and 7518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7512 and 7518 the smallest integer that is 9412536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7512 and 7518 is 9412536.

LCM(7512,7518) = 9412536

LCM of 7512 and 7518

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

LCM of:
and

Least Common Multiple of 7512 and 7518

LCM of 7512 and 7518 is 9412536

Least common multiple can be found by multiplying the highest exponent prime factors of 7512 and 7518. First we will calculate the prime factors of 7512 and 7518.

Prime Factorization of 7512


2 7512
2 3756
2 1878
3 939
313 313
1

Prime factors of 7512 are 2, 3,313. Prime factorization of 7512 in exponential form is:

7512 = 23×31×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7512 and 7518.

LCM(7512,7518) = 23×31×71×1791×3131
LCM(7512,7518) = 9412536

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512

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

Least Common Multiple of 7512 and 7518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7512 and 7518, than apply into the LCM equation.

GCF(7512,7518) = 6
LCM(7512,7518) = ( 7512 × 7518) / 6
LCM(7512,7518) = 56475216 / 6
LCM(7512,7518) = 9412536

Properties of LCM 7512 and 7518

(i) The LCM of 7518 and 7512 is associative

LCM of 7512 and 7518 = LCM of 7518 and 7512

Related Least Common Multiples of 7512

Related Least Common Multiples of 7518

Frequently Asked Questions on LCM of 7512 and 7518

1. What is the LCM of 7512 and 7518?

Answer: LCM of 7512 and 7518 is 9412536.

2. What are the Factors of 7512?

Answer: Factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512. There are 16 integers that are factors of 7512. The greatest factor of 7512 is 7512.

3. 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.

4. How to Find the LCM of 7512 and 7518?

Answer:

Least Common Multiple of 7512 and 7518 = 9412536

Step 1: Find the prime factorization of 7512

7512 = 2 x 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 7518

7518 = 2 x 3 x 7 x 179

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

LCM = 9412536 = 2 x 2 x 2 x 3 x 7 x 179 x 313

Step 4: Therefore, the least common multiple of 7512 and 7518 is 9412536.