Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2026 and 2033 the smallest integer that is 4118858 that is divisible by both numbers.
Least Common Multiple (LCM) of 2026 and 2033 is 4118858.
LCM(2026,2033) = 4118858
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 2026 and 2033. First we will calculate the prime factors of 2026 and 2033.
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
Prime Factorization of 2033
19 | 2033 |
107 | 107 |
1 |
Prime factors of 2033 are 19,107. Prime factorization of 2033 in exponential form is:
2033 = 191×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 2026 and 2033.
LCM(2026,2033) = 21×191×1071×10131
LCM(2026,2033) = 4118858
Factors of 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1, 2, 1013, 2026
Factors of 2033
List of positive integer factors of 2033 that divides 2033 without a remainder.
1, 19, 107, 2033
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2026 and 2033, than apply into the LCM equation.
GCF(2026,2033) = 1
LCM(2026,2033) = ( 2026 × 2033) / 1
LCM(2026,2033) = 4118858 / 1
LCM(2026,2033) = 4118858
(i) The LCM of 2033 and 2026 is associative
LCM of 2026 and 2033 = LCM of 2033 and 2026
1. What is the LCM of 2026 and 2033?
Answer: LCM of 2026 and 2033 is 4118858.
2. 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.
3. What are the Factors of 2033?
Answer: Factors of 2033 are 1, 19, 107, 2033. There are 4 integers that are factors of 2033. The greatest factor of 2033 is 2033.
4. How to Find the LCM of 2026 and 2033?
Answer:
Least Common Multiple of 2026 and 2033 = 4118858
Step 1: Find the prime factorization of 2026
2026 = 2 x 1013
Step 2: Find the prime factorization of 2033
2033 = 19 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4118858 = 2 x 19 x 107 x 1013
Step 4: Therefore, the least common multiple of 2026 and 2033 is 4118858.