Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5839 and 5847 the smallest integer that is 34140633 that is divisible by both numbers.
Least Common Multiple (LCM) of 5839 and 5847 is 34140633.
LCM(5839,5847) = 34140633
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 5839 and 5847. First we will calculate the prime factors of 5839 and 5847.
Prime Factorization of 5839
5839 | 5839 |
1 |
Prime factors of 5839 are 5839. Prime factorization of 5839 in exponential form is:
5839 = 58391
Prime Factorization of 5847
3 | 5847 |
1949 | 1949 |
1 |
Prime factors of 5847 are 3,1949. Prime factorization of 5847 in exponential form is:
5847 = 31×19491
Now multiplying the highest exponent prime factors to calculate the LCM of 5839 and 5847.
LCM(5839,5847) = 31×19491×58391
LCM(5839,5847) = 34140633
Factors of 5839
List of positive integer factors of 5839 that divides 5839 without a remainder.
1, 5839
Factors of 5847
List of positive integer factors of 5847 that divides 5847 without a remainder.
1, 3, 1949, 5847
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5839 and 5847, than apply into the LCM equation.
GCF(5839,5847) = 1
LCM(5839,5847) = ( 5839 × 5847) / 1
LCM(5839,5847) = 34140633 / 1
LCM(5839,5847) = 34140633
(i) The LCM of 5847 and 5839 is associative
LCM of 5839 and 5847 = LCM of 5847 and 5839
1. What is the LCM of 5839 and 5847?
Answer: LCM of 5839 and 5847 is 34140633.
2. What are the Factors of 5839?
Answer: Factors of 5839 are 1, 5839. There are 2 integers that are factors of 5839. The greatest factor of 5839 is 5839.
3. What are the Factors of 5847?
Answer: Factors of 5847 are 1, 3, 1949, 5847. There are 4 integers that are factors of 5847. The greatest factor of 5847 is 5847.
4. How to Find the LCM of 5839 and 5847?
Answer:
Least Common Multiple of 5839 and 5847 = 34140633
Step 1: Find the prime factorization of 5839
5839 = 5839
Step 2: Find the prime factorization of 5847
5847 = 3 x 1949
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34140633 = 3 x 1949 x 5839
Step 4: Therefore, the least common multiple of 5839 and 5847 is 34140633.