Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6520 and 6526 the smallest integer that is 21274760 that is divisible by both numbers.
Least Common Multiple (LCM) of 6520 and 6526 is 21274760.
LCM(6520,6526) = 21274760
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 6520 and 6526. First we will calculate the prime factors of 6520 and 6526.
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
Prime Factorization of 6526
2 | 6526 |
13 | 3263 |
251 | 251 |
1 |
Prime factors of 6526 are 2, 13,251. Prime factorization of 6526 in exponential form is:
6526 = 21×131×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 6520 and 6526.
LCM(6520,6526) = 23×51×131×1631×2511
LCM(6520,6526) = 21274760
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
Factors of 6526
List of positive integer factors of 6526 that divides 6526 without a remainder.
1, 2, 13, 26, 251, 502, 3263, 6526
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6520 and 6526, than apply into the LCM equation.
GCF(6520,6526) = 2
LCM(6520,6526) = ( 6520 × 6526) / 2
LCM(6520,6526) = 42549520 / 2
LCM(6520,6526) = 21274760
(i) The LCM of 6526 and 6520 is associative
LCM of 6520 and 6526 = LCM of 6526 and 6520
1. What is the LCM of 6520 and 6526?
Answer: LCM of 6520 and 6526 is 21274760.
2. 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.
3. What are the Factors of 6526?
Answer: Factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526. There are 8 integers that are factors of 6526. The greatest factor of 6526 is 6526.
4. How to Find the LCM of 6520 and 6526?
Answer:
Least Common Multiple of 6520 and 6526 = 21274760
Step 1: Find the prime factorization of 6520
6520 = 2 x 2 x 2 x 5 x 163
Step 2: Find the prime factorization of 6526
6526 = 2 x 13 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21274760 = 2 x 2 x 2 x 5 x 13 x 163 x 251
Step 4: Therefore, the least common multiple of 6520 and 6526 is 21274760.