Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6562 and 6567 the smallest integer that is 43092654 that is divisible by both numbers.
Least Common Multiple (LCM) of 6562 and 6567 is 43092654.
LCM(6562,6567) = 43092654
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 6562 and 6567. First we will calculate the prime factors of 6562 and 6567.
Prime Factorization of 6562
2 | 6562 |
17 | 3281 |
193 | 193 |
1 |
Prime factors of 6562 are 2, 17,193. Prime factorization of 6562 in exponential form is:
6562 = 21×171×1931
Prime Factorization of 6567
3 | 6567 |
11 | 2189 |
199 | 199 |
1 |
Prime factors of 6567 are 3, 11,199. Prime factorization of 6567 in exponential form is:
6567 = 31×111×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 6562 and 6567.
LCM(6562,6567) = 21×31×111×171×1931×1991
LCM(6562,6567) = 43092654
Factors of 6562
List of positive integer factors of 6562 that divides 6562 without a remainder.
1, 2, 17, 34, 193, 386, 3281, 6562
Factors of 6567
List of positive integer factors of 6567 that divides 6567 without a remainder.
1, 3, 11, 33, 199, 597, 2189, 6567
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6562 and 6567, than apply into the LCM equation.
GCF(6562,6567) = 1
LCM(6562,6567) = ( 6562 × 6567) / 1
LCM(6562,6567) = 43092654 / 1
LCM(6562,6567) = 43092654
(i) The LCM of 6567 and 6562 is associative
LCM of 6562 and 6567 = LCM of 6567 and 6562
1. What is the LCM of 6562 and 6567?
Answer: LCM of 6562 and 6567 is 43092654.
2. What are the Factors of 6562?
Answer: Factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562. There are 8 integers that are factors of 6562. The greatest factor of 6562 is 6562.
3. What are the Factors of 6567?
Answer: Factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567. There are 8 integers that are factors of 6567. The greatest factor of 6567 is 6567.
4. How to Find the LCM of 6562 and 6567?
Answer:
Least Common Multiple of 6562 and 6567 = 43092654
Step 1: Find the prime factorization of 6562
6562 = 2 x 17 x 193
Step 2: Find the prime factorization of 6567
6567 = 3 x 11 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43092654 = 2 x 3 x 11 x 17 x 193 x 199
Step 4: Therefore, the least common multiple of 6562 and 6567 is 43092654.