Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4226 and 4233 the smallest integer that is 17888658 that is divisible by both numbers.
Least Common Multiple (LCM) of 4226 and 4233 is 17888658.
LCM(4226,4233) = 17888658
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 4226 and 4233. First we will calculate the prime factors of 4226 and 4233.
Prime Factorization of 4226
2 | 4226 |
2113 | 2113 |
1 |
Prime factors of 4226 are 2,2113. Prime factorization of 4226 in exponential form is:
4226 = 21×21131
Prime Factorization of 4233
3 | 4233 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:
4233 = 31×171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4226 and 4233.
LCM(4226,4233) = 21×31×171×831×21131
LCM(4226,4233) = 17888658
Factors of 4226
List of positive integer factors of 4226 that divides 4226 without a remainder.
1, 2, 2113, 4226
Factors of 4233
List of positive integer factors of 4233 that divides 4233 without a remainder.
1, 3, 17, 51, 83, 249, 1411, 4233
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4226 and 4233, than apply into the LCM equation.
GCF(4226,4233) = 1
LCM(4226,4233) = ( 4226 × 4233) / 1
LCM(4226,4233) = 17888658 / 1
LCM(4226,4233) = 17888658
(i) The LCM of 4233 and 4226 is associative
LCM of 4226 and 4233 = LCM of 4233 and 4226
1. What is the LCM of 4226 and 4233?
Answer: LCM of 4226 and 4233 is 17888658.
2. What are the Factors of 4226?
Answer: Factors of 4226 are 1, 2, 2113, 4226. There are 4 integers that are factors of 4226. The greatest factor of 4226 is 4226.
3. What are the Factors of 4233?
Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.
4. How to Find the LCM of 4226 and 4233?
Answer:
Least Common Multiple of 4226 and 4233 = 17888658
Step 1: Find the prime factorization of 4226
4226 = 2 x 2113
Step 2: Find the prime factorization of 4233
4233 = 3 x 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17888658 = 2 x 3 x 17 x 83 x 2113
Step 4: Therefore, the least common multiple of 4226 and 4233 is 17888658.