Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2860 and 2868 the smallest integer that is 2050620 that is divisible by both numbers.
Least Common Multiple (LCM) of 2860 and 2868 is 2050620.
LCM(2860,2868) = 2050620
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 2860 and 2868. First we will calculate the prime factors of 2860 and 2868.
Prime Factorization of 2860
2 | 2860 |
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 2860 are 2, 5, 11,13. Prime factorization of 2860 in exponential form is:
2860 = 22×51×111×131
Prime Factorization of 2868
2 | 2868 |
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 2868 are 2, 3,239. Prime factorization of 2868 in exponential form is:
2868 = 22×31×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 2860 and 2868.
LCM(2860,2868) = 22×31×51×111×131×2391
LCM(2860,2868) = 2050620
Factors of 2860
List of positive integer factors of 2860 that divides 2860 without a remainder.
1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860
Factors of 2868
List of positive integer factors of 2868 that divides 2868 without a remainder.
1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2860 and 2868, than apply into the LCM equation.
GCF(2860,2868) = 4
LCM(2860,2868) = ( 2860 × 2868) / 4
LCM(2860,2868) = 8202480 / 4
LCM(2860,2868) = 2050620
(i) The LCM of 2868 and 2860 is associative
LCM of 2860 and 2868 = LCM of 2868 and 2860
1. What is the LCM of 2860 and 2868?
Answer: LCM of 2860 and 2868 is 2050620.
2. What are the Factors of 2860?
Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.
3. What are the Factors of 2868?
Answer: Factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868. There are 12 integers that are factors of 2868. The greatest factor of 2868 is 2868.
4. How to Find the LCM of 2860 and 2868?
Answer:
Least Common Multiple of 2860 and 2868 = 2050620
Step 1: Find the prime factorization of 2860
2860 = 2 x 2 x 5 x 11 x 13
Step 2: Find the prime factorization of 2868
2868 = 2 x 2 x 3 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2050620 = 2 x 2 x 3 x 5 x 11 x 13 x 239
Step 4: Therefore, the least common multiple of 2860 and 2868 is 2050620.