Least Common Multiple of 6515 and 6520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6515 and 6520 the smallest integer that is 8495560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6515 and 6520 is 8495560.

LCM(6515,6520) = 8495560

LCM of 6515 and 6520

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

LCM of:
and

Least Common Multiple of 6515 and 6520

LCM of 6515 and 6520 is 8495560

Least common multiple can be found by multiplying the highest exponent prime factors of 6515 and 6520. First we will calculate the prime factors of 6515 and 6520.

Prime Factorization of 6515


5 6515
1303 1303
1

Prime factors of 6515 are 5,1303. Prime factorization of 6515 in exponential form is:

6515 = 51×13031

Prime Factorization of 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2, 5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6515 and 6520.

LCM(6515,6520) = 23×51×1631×13031
LCM(6515,6520) = 8495560

Factors of 6515

List of positive integer factors of 6515 that divides 6515 without a remainder.

1, 5, 1303, 6515

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520

Least Common Multiple of 6515 and 6520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6515 and 6520, than apply into the LCM equation.

GCF(6515,6520) = 5
LCM(6515,6520) = ( 6515 × 6520) / 5
LCM(6515,6520) = 42477800 / 5
LCM(6515,6520) = 8495560

Properties of LCM 6515 and 6520

(i) The LCM of 6520 and 6515 is associative

LCM of 6515 and 6520 = LCM of 6520 and 6515

Related Least Common Multiples of 6515

Related Least Common Multiples of 6520

Frequently Asked Questions on LCM of 6515 and 6520

1. What is the LCM of 6515 and 6520?

Answer: LCM of 6515 and 6520 is 8495560.

2. What are the Factors of 6515?

Answer: Factors of 6515 are 1, 5, 1303, 6515. There are 4 integers that are factors of 6515. The greatest factor of 6515 is 6515.

3. What are the Factors of 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

4. How to Find the LCM of 6515 and 6520?

Answer:

Least Common Multiple of 6515 and 6520 = 8495560

Step 1: Find the prime factorization of 6515

6515 = 5 x 1303

Step 2: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

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

LCM = 8495560 = 2 x 2 x 2 x 5 x 163 x 1303

Step 4: Therefore, the least common multiple of 6515 and 6520 is 8495560.