Least Common Multiple of 6514 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 6514 and 6520 the smallest integer that is 21235640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6514 and 6520 is 21235640.

LCM(6514,6520) = 21235640

LCM of 6514 and 6520

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

LCM of:
and

Least Common Multiple of 6514 and 6520

LCM of 6514 and 6520 is 21235640

Least common multiple can be found by multiplying the highest exponent prime factors of 6514 and 6520. First we will calculate the prime factors of 6514 and 6520.

Prime Factorization of 6514


2 6514
3257 3257
1

Prime factors of 6514 are 2,3257. Prime factorization of 6514 in exponential form is:

6514 = 21×32571

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 6514 and 6520.

LCM(6514,6520) = 23×51×1631×32571
LCM(6514,6520) = 21235640

Factors of 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1, 2, 3257, 6514

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 6514 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 6514 and 6520, than apply into the LCM equation.

GCF(6514,6520) = 2
LCM(6514,6520) = ( 6514 × 6520) / 2
LCM(6514,6520) = 42471280 / 2
LCM(6514,6520) = 21235640

Properties of LCM 6514 and 6520

(i) The LCM of 6520 and 6514 is associative

LCM of 6514 and 6520 = LCM of 6520 and 6514

Frequently Asked Questions on LCM of 6514 and 6520

1. What is the LCM of 6514 and 6520?

Answer: LCM of 6514 and 6520 is 21235640.

2. What are the Factors of 6514?

Answer: Factors of 6514 are 1, 2, 3257, 6514. There are 4 integers that are factors of 6514. The greatest factor of 6514 is 6514.

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 6514 and 6520?

Answer:

Least Common Multiple of 6514 and 6520 = 21235640

Step 1: Find the prime factorization of 6514

6514 = 2 x 3257

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 = 21235640 = 2 x 2 x 2 x 5 x 163 x 3257

Step 4: Therefore, the least common multiple of 6514 and 6520 is 21235640.