Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2133 and 2136 the smallest integer that is 1518696 that is divisible by both numbers.
Least Common Multiple (LCM) of 2133 and 2136 is 1518696.
LCM(2133,2136) = 1518696
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 2133 and 2136. First we will calculate the prime factors of 2133 and 2136.
Prime Factorization of 2133
3 | 2133 |
3 | 711 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 2133 are 3,79. Prime factorization of 2133 in exponential form is:
2133 = 33×791
Prime Factorization of 2136
2 | 2136 |
2 | 1068 |
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 2136 are 2, 3,89. Prime factorization of 2136 in exponential form is:
2136 = 23×31×891
Now multiplying the highest exponent prime factors to calculate the LCM of 2133 and 2136.
LCM(2133,2136) = 23×33×791×891
LCM(2133,2136) = 1518696
Factors of 2133
List of positive integer factors of 2133 that divides 2133 without a remainder.
1, 3, 9, 27, 79, 237, 711, 2133
Factors of 2136
List of positive integer factors of 2136 that divides 2136 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2133 and 2136, than apply into the LCM equation.
GCF(2133,2136) = 3
LCM(2133,2136) = ( 2133 × 2136) / 3
LCM(2133,2136) = 4556088 / 3
LCM(2133,2136) = 1518696
(i) The LCM of 2136 and 2133 is associative
LCM of 2133 and 2136 = LCM of 2136 and 2133
1. What is the LCM of 2133 and 2136?
Answer: LCM of 2133 and 2136 is 1518696.
2. What are the Factors of 2133?
Answer: Factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133. There are 8 integers that are factors of 2133. The greatest factor of 2133 is 2133.
3. What are the Factors of 2136?
Answer: Factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136. There are 16 integers that are factors of 2136. The greatest factor of 2136 is 2136.
4. How to Find the LCM of 2133 and 2136?
Answer:
Least Common Multiple of 2133 and 2136 = 1518696
Step 1: Find the prime factorization of 2133
2133 = 3 x 3 x 3 x 79
Step 2: Find the prime factorization of 2136
2136 = 2 x 2 x 2 x 3 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1518696 = 2 x 2 x 2 x 3 x 3 x 3 x 79 x 89
Step 4: Therefore, the least common multiple of 2133 and 2136 is 1518696.