Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5854 and 5862 the smallest integer that is 17158074 that is divisible by both numbers.
Least Common Multiple (LCM) of 5854 and 5862 is 17158074.
LCM(5854,5862) = 17158074
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 5854 and 5862. First we will calculate the prime factors of 5854 and 5862.
Prime Factorization of 5854
2 | 5854 |
2927 | 2927 |
1 |
Prime factors of 5854 are 2,2927. Prime factorization of 5854 in exponential form is:
5854 = 21×29271
Prime Factorization of 5862
2 | 5862 |
3 | 2931 |
977 | 977 |
1 |
Prime factors of 5862 are 2, 3,977. Prime factorization of 5862 in exponential form is:
5862 = 21×31×9771
Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5862.
LCM(5854,5862) = 21×31×9771×29271
LCM(5854,5862) = 17158074
Factors of 5854
List of positive integer factors of 5854 that divides 5854 without a remainder.
1, 2, 2927, 5854
Factors of 5862
List of positive integer factors of 5862 that divides 5862 without a remainder.
1, 2, 3, 6, 977, 1954, 2931, 5862
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5862, than apply into the LCM equation.
GCF(5854,5862) = 2
LCM(5854,5862) = ( 5854 × 5862) / 2
LCM(5854,5862) = 34316148 / 2
LCM(5854,5862) = 17158074
(i) The LCM of 5862 and 5854 is associative
LCM of 5854 and 5862 = LCM of 5862 and 5854
1. What is the LCM of 5854 and 5862?
Answer: LCM of 5854 and 5862 is 17158074.
2. What are the Factors of 5854?
Answer: Factors of 5854 are 1, 2, 2927, 5854. There are 4 integers that are factors of 5854. The greatest factor of 5854 is 5854.
3. What are the Factors of 5862?
Answer: Factors of 5862 are 1, 2, 3, 6, 977, 1954, 2931, 5862. There are 8 integers that are factors of 5862. The greatest factor of 5862 is 5862.
4. How to Find the LCM of 5854 and 5862?
Answer:
Least Common Multiple of 5854 and 5862 = 17158074
Step 1: Find the prime factorization of 5854
5854 = 2 x 2927
Step 2: Find the prime factorization of 5862
5862 = 2 x 3 x 977
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17158074 = 2 x 3 x 977 x 2927
Step 4: Therefore, the least common multiple of 5854 and 5862 is 17158074.