Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6512 and 6520 the smallest integer that is 5307280 that is divisible by both numbers.
Least Common Multiple (LCM) of 6512 and 6520 is 5307280.
LCM(6512,6520) = 5307280
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 6512 and 6520. First we will calculate the prime factors of 6512 and 6520.
Prime Factorization of 6512
2 | 6512 |
2 | 3256 |
2 | 1628 |
2 | 814 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 6512 are 2, 11,37. Prime factorization of 6512 in exponential form is:
6512 = 24×111×371
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 6512 and 6520.
LCM(6512,6520) = 24×51×111×371×1631
LCM(6512,6520) = 5307280
Factors of 6512
List of positive integer factors of 6512 that divides 6512 without a remainder.
1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512
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 6512 and 6520, than apply into the LCM equation.
GCF(6512,6520) = 8
LCM(6512,6520) = ( 6512 × 6520) / 8
LCM(6512,6520) = 42458240 / 8
LCM(6512,6520) = 5307280
(i) The LCM of 6520 and 6512 is associative
LCM of 6512 and 6520 = LCM of 6520 and 6512
1. What is the LCM of 6512 and 6520?
Answer: LCM of 6512 and 6520 is 5307280.
2. What are the Factors of 6512?
Answer: Factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512. There are 20 integers that are factors of 6512. The greatest factor of 6512 is 6512.
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 6512 and 6520?
Answer:
Least Common Multiple of 6512 and 6520 = 5307280
Step 1: Find the prime factorization of 6512
6512 = 2 x 2 x 2 x 2 x 11 x 37
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 = 5307280 = 2 x 2 x 2 x 2 x 5 x 11 x 37 x 163
Step 4: Therefore, the least common multiple of 6512 and 6520 is 5307280.