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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 6520 and 6514 is associative
LCM of 6514 and 6520 = LCM of 6520 and 6514
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.