Least Common Multiple of 6542 and 6545
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6542 and 6545 the smallest integer that is 42817390 that is divisible by both numbers.
Least Common Multiple (LCM) of 6542 and 6545 is 42817390.
LCM(6542,6545) = 42817390
LCM of 6542 and 6545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6542 and 6545 by Prime method
- Least Common Multiple of 6542 and 6545 with GCF Formula
LCM of 6542 and 6545 is 42817390
Least common multiple can be found by multiplying the highest exponent prime factors of 6542 and 6545. First we will calculate the prime factors of 6542 and 6545.
Prime Factorization of 6542
| 2 | 6542 |
| 3271 | 3271 |
| 1 |
Prime factors of 6542 are 2,3271. Prime factorization of 6542 in exponential form is:
6542 = 21×32711
Prime Factorization of 6545
| 5 | 6545 |
| 7 | 1309 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 6545 are 5, 7, 11,17. Prime factorization of 6545 in exponential form is:
6545 = 51×71×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 6542 and 6545.
LCM(6542,6545) = 21×51×71×111×171×32711
LCM(6542,6545) = 42817390
Factors of 6542
List of positive integer factors of 6542 that divides 6542 without a remainder.
1, 2, 3271, 6542
Factors of 6545
List of positive integer factors of 6545 that divides 6545 without a remainder.
1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545
Least Common Multiple of 6542 and 6545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6542 and 6545, than apply into the LCM equation.
GCF(6542,6545) = 1
LCM(6542,6545) = ( 6542 × 6545) / 1
LCM(6542,6545) = 42817390 / 1
LCM(6542,6545) = 42817390
Properties of LCM 6542 and 6545
(i) The LCM of 6545 and 6542 is associative
LCM of 6542 and 6545 = LCM of 6545 and 6542
Related Least Common Multiples of 6542
Related Least Common Multiples of 6545
Frequently Asked Questions on LCM of 6542 and 6545
1. What is the LCM of 6542 and 6545?
Answer: LCM of 6542 and 6545 is 42817390.
2. What are the Factors of 6542?
Answer: Factors of 6542 are 1, 2, 3271, 6542. There are 4 integers that are factors of 6542. The greatest factor of 6542 is 6542.
3. What are the Factors of 6545?
Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.
4. How to Find the LCM of 6542 and 6545?
Answer:
Least Common Multiple of 6542 and 6545 = 42817390
Step 1: Find the prime factorization of 6542
6542 = 2 x 3271
Step 2: Find the prime factorization of 6545
6545 = 5 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42817390 = 2 x 5 x 7 x 11 x 17 x 3271
Step 4: Therefore, the least common multiple of 6542 and 6545 is 42817390.