Least Common Multiple of 2077 and 2082
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2077 and 2082 the smallest integer that is 4324314 that is divisible by both numbers.
Least Common Multiple (LCM) of 2077 and 2082 is 4324314.
LCM(2077,2082) = 4324314
LCM of 2077 and 2082
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2077 and 2082 by Prime method
- Least Common Multiple of 2077 and 2082 with GCF Formula
LCM of 2077 and 2082 is 4324314
Least common multiple can be found by multiplying the highest exponent prime factors of 2077 and 2082. First we will calculate the prime factors of 2077 and 2082.
Prime Factorization of 2077
| 31 | 2077 |
| 67 | 67 |
| 1 |
Prime factors of 2077 are 31,67. Prime factorization of 2077 in exponential form is:
2077 = 311×671
Prime Factorization of 2082
| 2 | 2082 |
| 3 | 1041 |
| 347 | 347 |
| 1 |
Prime factors of 2082 are 2, 3,347. Prime factorization of 2082 in exponential form is:
2082 = 21×31×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 2077 and 2082.
LCM(2077,2082) = 21×31×311×671×3471
LCM(2077,2082) = 4324314
Factors of 2077
List of positive integer factors of 2077 that divides 2077 without a remainder.
1, 31, 67, 2077
Factors of 2082
List of positive integer factors of 2082 that divides 2082 without a remainder.
1, 2, 3, 6, 347, 694, 1041, 2082
Least Common Multiple of 2077 and 2082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2077 and 2082, than apply into the LCM equation.
GCF(2077,2082) = 1
LCM(2077,2082) = ( 2077 × 2082) / 1
LCM(2077,2082) = 4324314 / 1
LCM(2077,2082) = 4324314
Properties of LCM 2077 and 2082
(i) The LCM of 2082 and 2077 is associative
LCM of 2077 and 2082 = LCM of 2082 and 2077
Related Least Common Multiples of 2077
Related Least Common Multiples of 2082
Frequently Asked Questions on LCM of 2077 and 2082
1. What is the LCM of 2077 and 2082?
Answer: LCM of 2077 and 2082 is 4324314.
2. What are the Factors of 2077?
Answer: Factors of 2077 are 1, 31, 67, 2077. There are 4 integers that are factors of 2077. The greatest factor of 2077 is 2077.
3. What are the Factors of 2082?
Answer: Factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082. There are 8 integers that are factors of 2082. The greatest factor of 2082 is 2082.
4. How to Find the LCM of 2077 and 2082?
Answer:
Least Common Multiple of 2077 and 2082 = 4324314
Step 1: Find the prime factorization of 2077
2077 = 31 x 67
Step 2: Find the prime factorization of 2082
2082 = 2 x 3 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4324314 = 2 x 3 x 31 x 67 x 347
Step 4: Therefore, the least common multiple of 2077 and 2082 is 4324314.