Least Common Multiple of 7506 and 7511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7506 and 7511 the smallest integer that is 56377566 that is divisible by both numbers.

Least Common Multiple (LCM) of 7506 and 7511 is 56377566.

LCM(7506,7511) = 56377566

LCM of 7506 and 7511

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

LCM of:
and

Least Common Multiple of 7506 and 7511

LCM of 7506 and 7511 is 56377566

Least common multiple can be found by multiplying the highest exponent prime factors of 7506 and 7511. First we will calculate the prime factors of 7506 and 7511.

Prime Factorization of 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2, 3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

Prime Factorization of 7511


7 7511
29 1073
37 37
1

Prime factors of 7511 are 7, 29,37. Prime factorization of 7511 in exponential form is:

7511 = 71×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7506 and 7511.

LCM(7506,7511) = 21×33×71×291×371×1391
LCM(7506,7511) = 56377566

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506

Factors of 7511

List of positive integer factors of 7511 that divides 7511 without a remainder.

1, 7, 29, 37, 203, 259, 1073, 7511

Least Common Multiple of 7506 and 7511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7506 and 7511, than apply into the LCM equation.

GCF(7506,7511) = 1
LCM(7506,7511) = ( 7506 × 7511) / 1
LCM(7506,7511) = 56377566 / 1
LCM(7506,7511) = 56377566

Properties of LCM 7506 and 7511

(i) The LCM of 7511 and 7506 is associative

LCM of 7506 and 7511 = LCM of 7511 and 7506

Related Least Common Multiples of 7506

Related Least Common Multiples of 7511

Frequently Asked Questions on LCM of 7506 and 7511

1. What is the LCM of 7506 and 7511?

Answer: LCM of 7506 and 7511 is 56377566.

2. What are the Factors of 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

3. What are the Factors of 7511?

Answer: Factors of 7511 are 1, 7, 29, 37, 203, 259, 1073, 7511. There are 8 integers that are factors of 7511. The greatest factor of 7511 is 7511.

4. How to Find the LCM of 7506 and 7511?

Answer:

Least Common Multiple of 7506 and 7511 = 56377566

Step 1: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 7511

7511 = 7 x 29 x 37

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

LCM = 56377566 = 2 x 3 x 3 x 3 x 7 x 29 x 37 x 139

Step 4: Therefore, the least common multiple of 7506 and 7511 is 56377566.