Least Common Multiple of 89133 and 89139
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89133 and 89139 the smallest integer that is 2648408829 that is divisible by both numbers.
Least Common Multiple (LCM) of 89133 and 89139 is 2648408829.
LCM(89133,89139) = 2648408829
LCM of 89133 and 89139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89133 and 89139 by Prime method
- Least Common Multiple of 89133 and 89139 with GCF Formula
LCM of 89133 and 89139 is 2648408829
Least common multiple can be found by multiplying the highest exponent prime factors of 89133 and 89139. First we will calculate the prime factors of 89133 and 89139.
Prime Factorization of 89133
| 3 | 89133 |
| 11 | 29711 |
| 37 | 2701 |
| 73 | 73 |
| 1 |
Prime factors of 89133 are 3, 11, 37,73. Prime factorization of 89133 in exponential form is:
89133 = 31×111×371×731
Prime Factorization of 89139
| 3 | 89139 |
| 43 | 29713 |
| 691 | 691 |
| 1 |
Prime factors of 89139 are 3, 43,691. Prime factorization of 89139 in exponential form is:
89139 = 31×431×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 89133 and 89139.
LCM(89133,89139) = 31×111×371×431×731×6911
LCM(89133,89139) = 2648408829
Factors of 89133
List of positive integer factors of 89133 that divides 89133 without a remainder.
1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133
Factors of 89139
List of positive integer factors of 89139 that divides 89139 without a remainder.
1, 3, 43, 129, 691, 2073, 29713, 89139
Least Common Multiple of 89133 and 89139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89133 and 89139, than apply into the LCM equation.
GCF(89133,89139) = 3
LCM(89133,89139) = ( 89133 × 89139) / 3
LCM(89133,89139) = 7945226487 / 3
LCM(89133,89139) = 2648408829
Properties of LCM 89133 and 89139
(i) The LCM of 89139 and 89133 is associative
LCM of 89133 and 89139 = LCM of 89139 and 89133
Related Least Common Multiples of 89133
Related Least Common Multiples of 89139
Frequently Asked Questions on LCM of 89133 and 89139
1. What is the LCM of 89133 and 89139?
Answer: LCM of 89133 and 89139 is 2648408829.
2. What are the Factors of 89133?
Answer: Factors of 89133 are 1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133. There are 16 integers that are factors of 89133. The greatest factor of 89133 is 89133.
3. What are the Factors of 89139?
Answer: Factors of 89139 are 1, 3, 43, 129, 691, 2073, 29713, 89139. There are 8 integers that are factors of 89139. The greatest factor of 89139 is 89139.
4. How to Find the LCM of 89133 and 89139?
Answer:
Least Common Multiple of 89133 and 89139 = 2648408829
Step 1: Find the prime factorization of 89133
89133 = 3 x 11 x 37 x 73
Step 2: Find the prime factorization of 89139
89139 = 3 x 43 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2648408829 = 3 x 11 x 37 x 43 x 73 x 691
Step 4: Therefore, the least common multiple of 89133 and 89139 is 2648408829.