Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2858 and 2862 the smallest integer that is 4089798 that is divisible by both numbers.
Least Common Multiple (LCM) of 2858 and 2862 is 4089798.
LCM(2858,2862) = 4089798
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 2858 and 2862. First we will calculate the prime factors of 2858 and 2862.
Prime Factorization of 2858
2 | 2858 |
1429 | 1429 |
1 |
Prime factors of 2858 are 2,1429. Prime factorization of 2858 in exponential form is:
2858 = 21×14291
Prime Factorization of 2862
2 | 2862 |
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 2862 are 2, 3,53. Prime factorization of 2862 in exponential form is:
2862 = 21×33×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2858 and 2862.
LCM(2858,2862) = 21×33×531×14291
LCM(2858,2862) = 4089798
Factors of 2858
List of positive integer factors of 2858 that divides 2858 without a remainder.
1, 2, 1429, 2858
Factors of 2862
List of positive integer factors of 2862 that divides 2862 without a remainder.
1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2858 and 2862, than apply into the LCM equation.
GCF(2858,2862) = 2
LCM(2858,2862) = ( 2858 × 2862) / 2
LCM(2858,2862) = 8179596 / 2
LCM(2858,2862) = 4089798
(i) The LCM of 2862 and 2858 is associative
LCM of 2858 and 2862 = LCM of 2862 and 2858
1. What is the LCM of 2858 and 2862?
Answer: LCM of 2858 and 2862 is 4089798.
2. What are the Factors of 2858?
Answer: Factors of 2858 are 1, 2, 1429, 2858. There are 4 integers that are factors of 2858. The greatest factor of 2858 is 2858.
3. What are the Factors of 2862?
Answer: Factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862. There are 16 integers that are factors of 2862. The greatest factor of 2862 is 2862.
4. How to Find the LCM of 2858 and 2862?
Answer:
Least Common Multiple of 2858 and 2862 = 4089798
Step 1: Find the prime factorization of 2858
2858 = 2 x 1429
Step 2: Find the prime factorization of 2862
2862 = 2 x 3 x 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4089798 = 2 x 3 x 3 x 3 x 53 x 1429
Step 4: Therefore, the least common multiple of 2858 and 2862 is 4089798.