Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6566 and 6570 the smallest integer that is 21569310 that is divisible by both numbers.
Least Common Multiple (LCM) of 6566 and 6570 is 21569310.
LCM(6566,6570) = 21569310
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 6566 and 6570. First we will calculate the prime factors of 6566 and 6570.
Prime Factorization of 6566
2 | 6566 |
7 | 3283 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 6566 are 2, 7,67. Prime factorization of 6566 in exponential form is:
6566 = 21×72×671
Prime Factorization of 6570
2 | 6570 |
3 | 3285 |
3 | 1095 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 6570 are 2, 3, 5,73. Prime factorization of 6570 in exponential form is:
6570 = 21×32×51×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6566 and 6570.
LCM(6566,6570) = 21×32×51×72×671×731
LCM(6566,6570) = 21569310
Factors of 6566
List of positive integer factors of 6566 that divides 6566 without a remainder.
1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
Factors of 6570
List of positive integer factors of 6570 that divides 6570 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6566 and 6570, than apply into the LCM equation.
GCF(6566,6570) = 2
LCM(6566,6570) = ( 6566 × 6570) / 2
LCM(6566,6570) = 43138620 / 2
LCM(6566,6570) = 21569310
(i) The LCM of 6570 and 6566 is associative
LCM of 6566 and 6570 = LCM of 6570 and 6566
1. What is the LCM of 6566 and 6570?
Answer: LCM of 6566 and 6570 is 21569310.
2. What are the Factors of 6566?
Answer: Factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566. There are 12 integers that are factors of 6566. The greatest factor of 6566 is 6566.
3. What are the Factors of 6570?
Answer: Factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570. There are 24 integers that are factors of 6570. The greatest factor of 6570 is 6570.
4. How to Find the LCM of 6566 and 6570?
Answer:
Least Common Multiple of 6566 and 6570 = 21569310
Step 1: Find the prime factorization of 6566
6566 = 2 x 7 x 7 x 67
Step 2: Find the prime factorization of 6570
6570 = 2 x 3 x 3 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21569310 = 2 x 3 x 3 x 5 x 7 x 7 x 67 x 73
Step 4: Therefore, the least common multiple of 6566 and 6570 is 21569310.