Least Common Multiple of 43064 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 43064 and 43069 the smallest integer that is 1854723416 that is divisible by both numbers.
Least Common Multiple (LCM) of 43064 and 43069 is 1854723416.
LCM(43064,43069) = 1854723416
LCM of 43064 and 43069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 43064 and 43069 by Prime method
- Least Common Multiple of 43064 and 43069 with GCF Formula
LCM of 43064 and 43069 is 1854723416
Least common multiple can be found by multiplying the highest exponent prime factors of 43064 and 43069. First we will calculate the prime factors of 43064 and 43069.
Prime Factorization of 43064
| 2 | 43064 |
| 2 | 21532 |
| 2 | 10766 |
| 7 | 5383 |
| 769 | 769 |
| 1 |
Prime factors of 43064 are 2, 7,769. Prime factorization of 43064 in exponential form is:
43064 = 23×71×7691
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 43064 and 43069.
LCM(43064,43069) = 23×71×131×7691×33131
LCM(43064,43069) = 1854723416
Factors of 43064
List of positive integer factors of 43064 that divides 43064 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532, 43064
Factors of 43069
List of positive integer factors of 43069 that divides 43069 without a remainder.
1, 13, 3313, 43069
Least Common Multiple of 43064 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 43064 and 43069, than apply into the LCM equation.
GCF(43064,43069) = 1
LCM(43064,43069) = ( 43064 × 43069) / 1
LCM(43064,43069) = 1854723416 / 1
LCM(43064,43069) = 1854723416
Properties of LCM 43064 and 43069
(i) The LCM of 43069 and 43064 is associative
LCM of 43064 and 43069 = LCM of 43069 and 43064
Related Least Common Multiples of 43064
Related Least Common Multiples of 43069
Frequently Asked Questions on LCM of 43064 and 43069
1. What is the LCM of 43064 and 43069?
Answer: LCM of 43064 and 43069 is 1854723416.
2. What are the Factors of 43064?
Answer: Factors of 43064 are 1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532, 43064. There are 16 integers that are factors of 43064. The greatest factor of 43064 is 43064.
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 43064 and 43069?
Answer:
Least Common Multiple of 43064 and 43069 = 1854723416
Step 1: Find the prime factorization of 43064
43064 = 2 x 2 x 2 x 7 x 769
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 = 1854723416 = 2 x 2 x 2 x 7 x 13 x 769 x 3313
Step 4: Therefore, the least common multiple of 43064 and 43069 is 1854723416.