Least Common Multiple of 7515 and 7520

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 7520 the smallest integer that is 11302560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7515 and 7520 is 11302560.

LCM(7515,7520) = 11302560

LCM of 7515 and 7520

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

LCM of:
and

Least Common Multiple of 7515 and 7520

LCM of 7515 and 7520 is 11302560

Least common multiple can be found by multiplying the highest exponent prime factors of 7515 and 7520. First we will calculate the prime factors of 7515 and 7520.

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 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2, 5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7515 and 7520.

LCM(7515,7520) = 25×32×51×471×1671
LCM(7515,7520) = 11302560

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 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520

Least Common Multiple of 7515 and 7520 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 7520, than apply into the LCM equation.

GCF(7515,7520) = 5
LCM(7515,7520) = ( 7515 × 7520) / 5
LCM(7515,7520) = 56512800 / 5
LCM(7515,7520) = 11302560

Properties of LCM 7515 and 7520

(i) The LCM of 7520 and 7515 is associative

LCM of 7515 and 7520 = LCM of 7520 and 7515

Related Least Common Multiples of 7515

Related Least Common Multiples of 7520

Frequently Asked Questions on LCM of 7515 and 7520

1. What is the LCM of 7515 and 7520?

Answer: LCM of 7515 and 7520 is 11302560.

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 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

4. How to Find the LCM of 7515 and 7520?

Answer:

Least Common Multiple of 7515 and 7520 = 11302560

Step 1: Find the prime factorization of 7515

7515 = 3 x 3 x 5 x 167

Step 2: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

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

LCM = 11302560 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 47 x 167

Step 4: Therefore, the least common multiple of 7515 and 7520 is 11302560.