Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6576 and 6580 the smallest integer that is 10817520 that is divisible by both numbers.
Least Common Multiple (LCM) of 6576 and 6580 is 10817520.
LCM(6576,6580) = 10817520
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 6576 and 6580. First we will calculate the prime factors of 6576 and 6580.
Prime Factorization of 6576
2 | 6576 |
2 | 3288 |
2 | 1644 |
2 | 822 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 6576 are 2, 3,137. Prime factorization of 6576 in exponential form is:
6576 = 24×31×1371
Prime Factorization of 6580
2 | 6580 |
2 | 3290 |
5 | 1645 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 6580 are 2, 5, 7,47. Prime factorization of 6580 in exponential form is:
6580 = 22×51×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6576 and 6580.
LCM(6576,6580) = 24×31×51×71×471×1371
LCM(6576,6580) = 10817520
Factors of 6576
List of positive integer factors of 6576 that divides 6576 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
Factors of 6580
List of positive integer factors of 6580 that divides 6580 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6576 and 6580, than apply into the LCM equation.
GCF(6576,6580) = 4
LCM(6576,6580) = ( 6576 × 6580) / 4
LCM(6576,6580) = 43270080 / 4
LCM(6576,6580) = 10817520
(i) The LCM of 6580 and 6576 is associative
LCM of 6576 and 6580 = LCM of 6580 and 6576
1. What is the LCM of 6576 and 6580?
Answer: LCM of 6576 and 6580 is 10817520.
2. What are the Factors of 6576?
Answer: Factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576. There are 20 integers that are factors of 6576. The greatest factor of 6576 is 6576.
3. What are the Factors of 6580?
Answer: Factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580. There are 24 integers that are factors of 6580. The greatest factor of 6580 is 6580.
4. How to Find the LCM of 6576 and 6580?
Answer:
Least Common Multiple of 6576 and 6580 = 10817520
Step 1: Find the prime factorization of 6576
6576 = 2 x 2 x 2 x 2 x 3 x 137
Step 2: Find the prime factorization of 6580
6580 = 2 x 2 x 5 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10817520 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 47 x 137
Step 4: Therefore, the least common multiple of 6576 and 6580 is 10817520.