Least Common Multiple of 43061 and 43069
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 43061 and 43069 the smallest integer that is 1854594209 that is divisible by both numbers.
Least Common Multiple (LCM) of 43061 and 43069 is 1854594209.
LCM(43061,43069) = 1854594209
LCM of 43061 and 43069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 43061 and 43069 by Prime method
- Least Common Multiple of 43061 and 43069 with GCF Formula
LCM of 43061 and 43069 is 1854594209
Least common multiple can be found by multiplying the highest exponent prime factors of 43061 and 43069. First we will calculate the prime factors of 43061 and 43069.
Prime Factorization of 43061
| 17 | 43061 |
| 17 | 2533 |
| 149 | 149 |
| 1 |
Prime factors of 43061 are 17,149. Prime factorization of 43061 in exponential form is:
43061 = 172×1491
Prime Factorization of 43069
| 13 | 43069 |
| 3313 | 3313 |
| 1 |
Prime factors of 43069 are 13,3313. Prime factorization of 43069 in exponential form is:
43069 = 131×33131
Now multiplying the highest exponent prime factors to calculate the LCM of 43061 and 43069.
LCM(43061,43069) = 131×172×1491×33131
LCM(43061,43069) = 1854594209
Factors of 43061
List of positive integer factors of 43061 that divides 43061 without a remainder.
1, 17, 149, 289, 2533, 43061
Factors of 43069
List of positive integer factors of 43069 that divides 43069 without a remainder.
1, 13, 3313, 43069
Least Common Multiple of 43061 and 43069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43061 and 43069, than apply into the LCM equation.
GCF(43061,43069) = 1
LCM(43061,43069) = ( 43061 × 43069) / 1
LCM(43061,43069) = 1854594209 / 1
LCM(43061,43069) = 1854594209
Properties of LCM 43061 and 43069
(i) The LCM of 43069 and 43061 is associative
LCM of 43061 and 43069 = LCM of 43069 and 43061
Related Least Common Multiples of 43061
Related Least Common Multiples of 43069
Frequently Asked Questions on LCM of 43061 and 43069
1. What is the LCM of 43061 and 43069?
Answer: LCM of 43061 and 43069 is 1854594209.
2. What are the Factors of 43061?
Answer: Factors of 43061 are 1, 17, 149, 289, 2533, 43061. There are 6 integers that are factors of 43061. The greatest factor of 43061 is 43061.
3. What are the Factors of 43069?
Answer: Factors of 43069 are 1, 13, 3313, 43069. There are 4 integers that are factors of 43069. The greatest factor of 43069 is 43069.
4. How to Find the LCM of 43061 and 43069?
Answer:
Least Common Multiple of 43061 and 43069 = 1854594209
Step 1: Find the prime factorization of 43061
43061 = 17 x 17 x 149
Step 2: Find the prime factorization of 43069
43069 = 13 x 3313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1854594209 = 13 x 17 x 17 x 149 x 3313
Step 4: Therefore, the least common multiple of 43061 and 43069 is 1854594209.