Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6558 and 6565 the smallest integer that is 43053270 that is divisible by both numbers.
Least Common Multiple (LCM) of 6558 and 6565 is 43053270.
LCM(6558,6565) = 43053270
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 6558 and 6565. First we will calculate the prime factors of 6558 and 6565.
Prime Factorization of 6558
2 | 6558 |
3 | 3279 |
1093 | 1093 |
1 |
Prime factors of 6558 are 2, 3,1093. Prime factorization of 6558 in exponential form is:
6558 = 21×31×10931
Prime Factorization of 6565
5 | 6565 |
13 | 1313 |
101 | 101 |
1 |
Prime factors of 6565 are 5, 13,101. Prime factorization of 6565 in exponential form is:
6565 = 51×131×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 6558 and 6565.
LCM(6558,6565) = 21×31×51×131×1011×10931
LCM(6558,6565) = 43053270
Factors of 6558
List of positive integer factors of 6558 that divides 6558 without a remainder.
1, 2, 3, 6, 1093, 2186, 3279, 6558
Factors of 6565
List of positive integer factors of 6565 that divides 6565 without a remainder.
1, 5, 13, 65, 101, 505, 1313, 6565
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6558 and 6565, than apply into the LCM equation.
GCF(6558,6565) = 1
LCM(6558,6565) = ( 6558 × 6565) / 1
LCM(6558,6565) = 43053270 / 1
LCM(6558,6565) = 43053270
(i) The LCM of 6565 and 6558 is associative
LCM of 6558 and 6565 = LCM of 6565 and 6558
1. What is the LCM of 6558 and 6565?
Answer: LCM of 6558 and 6565 is 43053270.
2. What are the Factors of 6558?
Answer: Factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558. There are 8 integers that are factors of 6558. The greatest factor of 6558 is 6558.
3. What are the Factors of 6565?
Answer: Factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565. There are 8 integers that are factors of 6565. The greatest factor of 6565 is 6565.
4. How to Find the LCM of 6558 and 6565?
Answer:
Least Common Multiple of 6558 and 6565 = 43053270
Step 1: Find the prime factorization of 6558
6558 = 2 x 3 x 1093
Step 2: Find the prime factorization of 6565
6565 = 5 x 13 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43053270 = 2 x 3 x 5 x 13 x 101 x 1093
Step 4: Therefore, the least common multiple of 6558 and 6565 is 43053270.