Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4133 and 4138 the smallest integer that is 17102354 that is divisible by both numbers.
Least Common Multiple (LCM) of 4133 and 4138 is 17102354.
LCM(4133,4138) = 17102354
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 4133 and 4138. First we will calculate the prime factors of 4133 and 4138.
Prime Factorization of 4133
4133 | 4133 |
1 |
Prime factors of 4133 are 4133. Prime factorization of 4133 in exponential form is:
4133 = 41331
Prime Factorization of 4138
2 | 4138 |
2069 | 2069 |
1 |
Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:
4138 = 21×20691
Now multiplying the highest exponent prime factors to calculate the LCM of 4133 and 4138.
LCM(4133,4138) = 21×20691×41331
LCM(4133,4138) = 17102354
Factors of 4133
List of positive integer factors of 4133 that divides 4133 without a remainder.
1, 4133
Factors of 4138
List of positive integer factors of 4138 that divides 4138 without a remainder.
1, 2, 2069, 4138
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4133 and 4138, than apply into the LCM equation.
GCF(4133,4138) = 1
LCM(4133,4138) = ( 4133 × 4138) / 1
LCM(4133,4138) = 17102354 / 1
LCM(4133,4138) = 17102354
(i) The LCM of 4138 and 4133 is associative
LCM of 4133 and 4138 = LCM of 4138 and 4133
1. What is the LCM of 4133 and 4138?
Answer: LCM of 4133 and 4138 is 17102354.
2. What are the Factors of 4133?
Answer: Factors of 4133 are 1, 4133. There are 2 integers that are factors of 4133. The greatest factor of 4133 is 4133.
3. What are the Factors of 4138?
Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.
4. How to Find the LCM of 4133 and 4138?
Answer:
Least Common Multiple of 4133 and 4138 = 17102354
Step 1: Find the prime factorization of 4133
4133 = 4133
Step 2: Find the prime factorization of 4138
4138 = 2 x 2069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17102354 = 2 x 2069 x 4133
Step 4: Therefore, the least common multiple of 4133 and 4138 is 17102354.