Least Common Multiple of 7515 and 7521

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 7521 the smallest integer that is 18840105 that is divisible by both numbers.

Least Common Multiple (LCM) of 7515 and 7521 is 18840105.

LCM(7515,7521) = 18840105

LCM of 7515 and 7521

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

LCM of:
and

Least Common Multiple of 7515 and 7521

LCM of 7515 and 7521 is 18840105

Least common multiple can be found by multiplying the highest exponent prime factors of 7515 and 7521. First we will calculate the prime factors of 7515 and 7521.

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 7521


3 7521
23 2507
109 109
1

Prime factors of 7521 are 3, 23,109. Prime factorization of 7521 in exponential form is:

7521 = 31×231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7515 and 7521.

LCM(7515,7521) = 32×51×231×1091×1671
LCM(7515,7521) = 18840105

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 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1, 3, 23, 69, 109, 327, 2507, 7521

Least Common Multiple of 7515 and 7521 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 7521, than apply into the LCM equation.

GCF(7515,7521) = 3
LCM(7515,7521) = ( 7515 × 7521) / 3
LCM(7515,7521) = 56520315 / 3
LCM(7515,7521) = 18840105

Properties of LCM 7515 and 7521

(i) The LCM of 7521 and 7515 is associative

LCM of 7515 and 7521 = LCM of 7521 and 7515

Related Least Common Multiples of 7515

Related Least Common Multiples of 7521

Frequently Asked Questions on LCM of 7515 and 7521

1. What is the LCM of 7515 and 7521?

Answer: LCM of 7515 and 7521 is 18840105.

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 7521?

Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.

4. How to Find the LCM of 7515 and 7521?

Answer:

Least Common Multiple of 7515 and 7521 = 18840105

Step 1: Find the prime factorization of 7515

7515 = 3 x 3 x 5 x 167

Step 2: Find the prime factorization of 7521

7521 = 3 x 23 x 109

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

LCM = 18840105 = 3 x 3 x 5 x 23 x 109 x 167

Step 4: Therefore, the least common multiple of 7515 and 7521 is 18840105.