Least Common Multiple of 7093 and 7098
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7093 and 7098 the smallest integer that is 50346114 that is divisible by both numbers.
Least Common Multiple (LCM) of 7093 and 7098 is 50346114.
LCM(7093,7098) = 50346114
LCM of 7093 and 7098
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7093 and 7098 by Prime method
- Least Common Multiple of 7093 and 7098 with GCF Formula
LCM of 7093 and 7098 is 50346114
Least common multiple can be found by multiplying the highest exponent prime factors of 7093 and 7098. First we will calculate the prime factors of 7093 and 7098.
Prime Factorization of 7093
| 41 | 7093 |
| 173 | 173 |
| 1 |
Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:
7093 = 411×1731
Prime Factorization of 7098
| 2 | 7098 |
| 3 | 3549 |
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 7098 are 2, 3, 7,13. Prime factorization of 7098 in exponential form is:
7098 = 21×31×71×132
Now multiplying the highest exponent prime factors to calculate the LCM of 7093 and 7098.
LCM(7093,7098) = 21×31×71×132×411×1731
LCM(7093,7098) = 50346114
Factors of 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1, 41, 173, 7093
Factors of 7098
List of positive integer factors of 7098 that divides 7098 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
Least Common Multiple of 7093 and 7098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7093 and 7098, than apply into the LCM equation.
GCF(7093,7098) = 1
LCM(7093,7098) = ( 7093 × 7098) / 1
LCM(7093,7098) = 50346114 / 1
LCM(7093,7098) = 50346114
Properties of LCM 7093 and 7098
(i) The LCM of 7098 and 7093 is associative
LCM of 7093 and 7098 = LCM of 7098 and 7093
Related Least Common Multiples of 7093
Related Least Common Multiples of 7098
Frequently Asked Questions on LCM of 7093 and 7098
1. What is the LCM of 7093 and 7098?
Answer: LCM of 7093 and 7098 is 50346114.
2. What are the Factors of 7093?
Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.
3. What are the Factors of 7098?
Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.
4. How to Find the LCM of 7093 and 7098?
Answer:
Least Common Multiple of 7093 and 7098 = 50346114
Step 1: Find the prime factorization of 7093
7093 = 41 x 173
Step 2: Find the prime factorization of 7098
7098 = 2 x 3 x 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50346114 = 2 x 3 x 7 x 13 x 13 x 41 x 173
Step 4: Therefore, the least common multiple of 7093 and 7098 is 50346114.