Least Common Multiple of 7098 and 7103
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7098 and 7103 the smallest integer that is 50417094 that is divisible by both numbers.
Least Common Multiple (LCM) of 7098 and 7103 is 50417094.
LCM(7098,7103) = 50417094
LCM of 7098 and 7103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7098 and 7103 by Prime method
- Least Common Multiple of 7098 and 7103 with GCF Formula
LCM of 7098 and 7103 is 50417094
Least common multiple can be found by multiplying the highest exponent prime factors of 7098 and 7103. First we will calculate the prime factors of 7098 and 7103.
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
Prime Factorization of 7103
| 7103 | 7103 |
| 1 |
Prime factors of 7103 are 7103. Prime factorization of 7103 in exponential form is:
7103 = 71031
Now multiplying the highest exponent prime factors to calculate the LCM of 7098 and 7103.
LCM(7098,7103) = 21×31×71×132×71031
LCM(7098,7103) = 50417094
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
Factors of 7103
List of positive integer factors of 7103 that divides 7103 without a remainder.
1, 7103
Least Common Multiple of 7098 and 7103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7098 and 7103, than apply into the LCM equation.
GCF(7098,7103) = 1
LCM(7098,7103) = ( 7098 × 7103) / 1
LCM(7098,7103) = 50417094 / 1
LCM(7098,7103) = 50417094
Properties of LCM 7098 and 7103
(i) The LCM of 7103 and 7098 is associative
LCM of 7098 and 7103 = LCM of 7103 and 7098
Related Least Common Multiples of 7098
Related Least Common Multiples of 7103
Frequently Asked Questions on LCM of 7098 and 7103
1. What is the LCM of 7098 and 7103?
Answer: LCM of 7098 and 7103 is 50417094.
2. 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.
3. What are the Factors of 7103?
Answer: Factors of 7103 are 1, 7103. There are 2 integers that are factors of 7103. The greatest factor of 7103 is 7103.
4. How to Find the LCM of 7098 and 7103?
Answer:
Least Common Multiple of 7098 and 7103 = 50417094
Step 1: Find the prime factorization of 7098
7098 = 2 x 3 x 7 x 13 x 13
Step 2: Find the prime factorization of 7103
7103 = 7103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50417094 = 2 x 3 x 7 x 13 x 13 x 7103
Step 4: Therefore, the least common multiple of 7098 and 7103 is 50417094.