Least Common Multiple of 2021 and 2026
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2021 and 2026 the smallest integer that is 4094546 that is divisible by both numbers.
Least Common Multiple (LCM) of 2021 and 2026 is 4094546.
LCM(2021,2026) = 4094546
LCM of 2021 and 2026
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2021 and 2026 by Prime method
- Least Common Multiple of 2021 and 2026 with GCF Formula
LCM of 2021 and 2026 is 4094546
Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2026. First we will calculate the prime factors of 2021 and 2026.
Prime Factorization of 2021
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:
2021 = 431×471
Prime Factorization of 2026
| 2 | 2026 |
| 1013 | 1013 |
| 1 |
Prime factors of 2026 are 2,1013. Prime factorization of 2026 in exponential form is:
2026 = 21×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 2021 and 2026.
LCM(2021,2026) = 21×431×471×10131
LCM(2021,2026) = 4094546
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1, 43, 47, 2021
Factors of 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1, 2, 1013, 2026
Least Common Multiple of 2021 and 2026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2021 and 2026, than apply into the LCM equation.
GCF(2021,2026) = 1
LCM(2021,2026) = ( 2021 × 2026) / 1
LCM(2021,2026) = 4094546 / 1
LCM(2021,2026) = 4094546
Properties of LCM 2021 and 2026
(i) The LCM of 2026 and 2021 is associative
LCM of 2021 and 2026 = LCM of 2026 and 2021
Related Least Common Multiples of 2021
Related Least Common Multiples of 2026
Frequently Asked Questions on LCM of 2021 and 2026
1. What is the LCM of 2021 and 2026?
Answer: LCM of 2021 and 2026 is 4094546.
2. What are the Factors of 2021?
Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.
3. What are the Factors of 2026?
Answer: Factors of 2026 are 1, 2, 1013, 2026. There are 4 integers that are factors of 2026. The greatest factor of 2026 is 2026.
4. How to Find the LCM of 2021 and 2026?
Answer:
Least Common Multiple of 2021 and 2026 = 4094546
Step 1: Find the prime factorization of 2021
2021 = 43 x 47
Step 2: Find the prime factorization of 2026
2026 = 2 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4094546 = 2 x 43 x 47 x 1013
Step 4: Therefore, the least common multiple of 2021 and 2026 is 4094546.