Least Common Multiple of 7508 and 7515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7508 and 7515 the smallest integer that is 56422620 that is divisible by both numbers.

Least Common Multiple (LCM) of 7508 and 7515 is 56422620.

LCM(7508,7515) = 56422620

LCM of 7508 and 7515

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

LCM of:
and

Least Common Multiple of 7508 and 7515

LCM of 7508 and 7515 is 56422620

Least common multiple can be found by multiplying the highest exponent prime factors of 7508 and 7515. First we will calculate the prime factors of 7508 and 7515.

Prime Factorization of 7508


2 7508
2 3754
1877 1877
1

Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:

7508 = 22×18771

Prime Factorization of 7515


3 7515
3 2505
5 835
167 167
1

Prime factors of 7515 are 3, 5,167. Prime factorization of 7515 in exponential form is:

7515 = 32×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 7508 and 7515.

LCM(7508,7515) = 22×32×51×1671×18771
LCM(7508,7515) = 56422620

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1, 2, 4, 1877, 3754, 7508

Factors of 7515

List of positive integer factors of 7515 that divides 7515 without a remainder.

1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515

Least Common Multiple of 7508 and 7515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7508 and 7515, than apply into the LCM equation.

GCF(7508,7515) = 1
LCM(7508,7515) = ( 7508 × 7515) / 1
LCM(7508,7515) = 56422620 / 1
LCM(7508,7515) = 56422620

Properties of LCM 7508 and 7515

(i) The LCM of 7515 and 7508 is associative

LCM of 7508 and 7515 = LCM of 7515 and 7508

Related Least Common Multiples of 7508

Related Least Common Multiples of 7515

Frequently Asked Questions on LCM of 7508 and 7515

1. What is the LCM of 7508 and 7515?

Answer: LCM of 7508 and 7515 is 56422620.

2. What are the Factors of 7508?

Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.

3. What are the Factors of 7515?

Answer: Factors of 7515 are 1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515. There are 12 integers that are factors of 7515. The greatest factor of 7515 is 7515.

4. How to Find the LCM of 7508 and 7515?

Answer:

Least Common Multiple of 7508 and 7515 = 56422620

Step 1: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

Step 2: Find the prime factorization of 7515

7515 = 3 x 3 x 5 x 167

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

LCM = 56422620 = 2 x 2 x 3 x 3 x 5 x 167 x 1877

Step 4: Therefore, the least common multiple of 7508 and 7515 is 56422620.