Least Common Multiple of 7512 and 7517

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 7517 the smallest integer that is 56467704 that is divisible by both numbers.

Least Common Multiple (LCM) of 7512 and 7517 is 56467704.

LCM(7512,7517) = 56467704

LCM of 7512 and 7517

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

LCM of:
and

Least Common Multiple of 7512 and 7517

LCM of 7512 and 7517 is 56467704

Least common multiple can be found by multiplying the highest exponent prime factors of 7512 and 7517. First we will calculate the prime factors of 7512 and 7517.

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 7517


7517 7517
1

Prime factors of 7517 are 7517. Prime factorization of 7517 in exponential form is:

7517 = 75171

Now multiplying the highest exponent prime factors to calculate the LCM of 7512 and 7517.

LCM(7512,7517) = 23×31×3131×75171
LCM(7512,7517) = 56467704

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 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1, 7517

Least Common Multiple of 7512 and 7517 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 7517, than apply into the LCM equation.

GCF(7512,7517) = 1
LCM(7512,7517) = ( 7512 × 7517) / 1
LCM(7512,7517) = 56467704 / 1
LCM(7512,7517) = 56467704

Properties of LCM 7512 and 7517

(i) The LCM of 7517 and 7512 is associative

LCM of 7512 and 7517 = LCM of 7517 and 7512

Related Least Common Multiples of 7512

Related Least Common Multiples of 7517

Frequently Asked Questions on LCM of 7512 and 7517

1. What is the LCM of 7512 and 7517?

Answer: LCM of 7512 and 7517 is 56467704.

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 7517?

Answer: Factors of 7517 are 1, 7517. There are 2 integers that are factors of 7517. The greatest factor of 7517 is 7517.

4. How to Find the LCM of 7512 and 7517?

Answer:

Least Common Multiple of 7512 and 7517 = 56467704

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 7517

7517 = 7517

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

LCM = 56467704 = 2 x 2 x 2 x 3 x 313 x 7517

Step 4: Therefore, the least common multiple of 7512 and 7517 is 56467704.