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 2090 the smallest integer that is 2179870 that is divisible by both numbers.
Least Common Multiple (LCM) of 2086 and 2090 is 2179870.
LCM(2086,2090) = 2179870
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 2090. First we will calculate the prime factors of 2086 and 2090.
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 2090
2 | 2090 |
5 | 1045 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 2090 are 2, 5, 11,19. Prime factorization of 2090 in exponential form is:
2090 = 21×51×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 2086 and 2090.
LCM(2086,2090) = 21×51×71×111×191×1491
LCM(2086,2090) = 2179870
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 2090
List of positive integer factors of 2090 that divides 2090 without a remainder.
1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2086 and 2090, than apply into the LCM equation.
GCF(2086,2090) = 2
LCM(2086,2090) = ( 2086 × 2090) / 2
LCM(2086,2090) = 4359740 / 2
LCM(2086,2090) = 2179870
(i) The LCM of 2090 and 2086 is associative
LCM of 2086 and 2090 = LCM of 2090 and 2086
1. What is the LCM of 2086 and 2090?
Answer: LCM of 2086 and 2090 is 2179870.
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 2090?
Answer: Factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090. There are 16 integers that are factors of 2090. The greatest factor of 2090 is 2090.
4. How to Find the LCM of 2086 and 2090?
Answer:
Least Common Multiple of 2086 and 2090 = 2179870
Step 1: Find the prime factorization of 2086
2086 = 2 x 7 x 149
Step 2: Find the prime factorization of 2090
2090 = 2 x 5 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2179870 = 2 x 5 x 7 x 11 x 19 x 149
Step 4: Therefore, the least common multiple of 2086 and 2090 is 2179870.