Least Common Multiple of 7515 and 7523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7515 and 7523 the smallest integer that is 56535345 that is divisible by both numbers.

Least Common Multiple (LCM) of 7515 and 7523 is 56535345.

LCM(7515,7523) = 56535345

LCM of 7515 and 7523

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

LCM of:
and

Least Common Multiple of 7515 and 7523

LCM of 7515 and 7523 is 56535345

Least common multiple can be found by multiplying the highest exponent prime factors of 7515 and 7523. First we will calculate the prime factors of 7515 and 7523.

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

Prime Factorization of 7523


7523 7523
1

Prime factors of 7523 are 7523. Prime factorization of 7523 in exponential form is:

7523 = 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 7515 and 7523.

LCM(7515,7523) = 32×51×1671×75231
LCM(7515,7523) = 56535345

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

Factors of 7523

List of positive integer factors of 7523 that divides 7523 without a remainder.

1, 7523

Least Common Multiple of 7515 and 7523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7515 and 7523, than apply into the LCM equation.

GCF(7515,7523) = 1
LCM(7515,7523) = ( 7515 × 7523) / 1
LCM(7515,7523) = 56535345 / 1
LCM(7515,7523) = 56535345

Properties of LCM 7515 and 7523

(i) The LCM of 7523 and 7515 is associative

LCM of 7515 and 7523 = LCM of 7523 and 7515

Related Least Common Multiples of 7515

Related Least Common Multiples of 7523

Frequently Asked Questions on LCM of 7515 and 7523

1. What is the LCM of 7515 and 7523?

Answer: LCM of 7515 and 7523 is 56535345.

2. 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.

3. What are the Factors of 7523?

Answer: Factors of 7523 are 1, 7523. There are 2 integers that are factors of 7523. The greatest factor of 7523 is 7523.

4. How to Find the LCM of 7515 and 7523?

Answer:

Least Common Multiple of 7515 and 7523 = 56535345

Step 1: Find the prime factorization of 7515

7515 = 3 x 3 x 5 x 167

Step 2: Find the prime factorization of 7523

7523 = 7523

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

LCM = 56535345 = 3 x 3 x 5 x 167 x 7523

Step 4: Therefore, the least common multiple of 7515 and 7523 is 56535345.