Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6571 and 6576 the smallest integer that is 43210896 that is divisible by both numbers.
Least Common Multiple (LCM) of 6571 and 6576 is 43210896.
LCM(6571,6576) = 43210896
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 6571 and 6576. First we will calculate the prime factors of 6571 and 6576.
Prime Factorization of 6571
6571 | 6571 |
1 |
Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:
6571 = 65711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6571 and 6576.
LCM(6571,6576) = 24×31×1371×65711
LCM(6571,6576) = 43210896
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1, 6571
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6571 and 6576, than apply into the LCM equation.
GCF(6571,6576) = 1
LCM(6571,6576) = ( 6571 × 6576) / 1
LCM(6571,6576) = 43210896 / 1
LCM(6571,6576) = 43210896
(i) The LCM of 6576 and 6571 is associative
LCM of 6571 and 6576 = LCM of 6576 and 6571
1. What is the LCM of 6571 and 6576?
Answer: LCM of 6571 and 6576 is 43210896.
2. What are the Factors of 6571?
Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.
3. 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.
4. How to Find the LCM of 6571 and 6576?
Answer:
Least Common Multiple of 6571 and 6576 = 43210896
Step 1: Find the prime factorization of 6571
6571 = 6571
Step 2: Find the prime factorization of 6576
6576 = 2 x 2 x 2 x 2 x 3 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43210896 = 2 x 2 x 2 x 2 x 3 x 137 x 6571
Step 4: Therefore, the least common multiple of 6571 and 6576 is 43210896.