Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2086 and 2088 the smallest integer that is 2177784 that is divisible by both numbers.
Least Common Multiple (LCM) of 2086 and 2088 is 2177784.
LCM(2086,2088) = 2177784
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 2086 and 2088. First we will calculate the prime factors of 2086 and 2088.
Prime Factorization of 2086
2 | 2086 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 2086 are 2, 7,149. Prime factorization of 2086 in exponential form is:
2086 = 21×71×1491
Prime Factorization of 2088
2 | 2088 |
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 2088 are 2, 3,29. Prime factorization of 2088 in exponential form is:
2088 = 23×32×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2086 and 2088.
LCM(2086,2088) = 23×32×71×291×1491
LCM(2086,2088) = 2177784
Factors of 2086
List of positive integer factors of 2086 that divides 2086 without a remainder.
1, 2, 7, 14, 149, 298, 1043, 2086
Factors of 2088
List of positive integer factors of 2088 that divides 2088 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2086 and 2088, than apply into the LCM equation.
GCF(2086,2088) = 2
LCM(2086,2088) = ( 2086 × 2088) / 2
LCM(2086,2088) = 4355568 / 2
LCM(2086,2088) = 2177784
(i) The LCM of 2088 and 2086 is associative
LCM of 2086 and 2088 = LCM of 2088 and 2086
1. What is the LCM of 2086 and 2088?
Answer: LCM of 2086 and 2088 is 2177784.
2. What are the Factors of 2086?
Answer: Factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086. There are 8 integers that are factors of 2086. The greatest factor of 2086 is 2086.
3. What are the Factors of 2088?
Answer: Factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088. There are 24 integers that are factors of 2088. The greatest factor of 2088 is 2088.
4. How to Find the LCM of 2086 and 2088?
Answer:
Least Common Multiple of 2086 and 2088 = 2177784
Step 1: Find the prime factorization of 2086
2086 = 2 x 7 x 149
Step 2: Find the prime factorization of 2088
2088 = 2 x 2 x 2 x 3 x 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2177784 = 2 x 2 x 2 x 3 x 3 x 7 x 29 x 149
Step 4: Therefore, the least common multiple of 2086 and 2088 is 2177784.