Least Common Multiple of 98 and 103
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 98 and 103 the smallest integer that is 10094 that is divisible by both numbers.
Least Common Multiple (LCM) of 98 and 103 is 10094.
LCM(98,103) = 10094
LCM of 98 and 103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 98 and 103 by Prime method
- Least Common Multiple of 98 and 103 with GCF Formula
LCM of 98 and 103 is 10094
Least common multiple can be found by multiplying the highest exponent prime factors of 98 and 103. First we will calculate the prime factors of 98 and 103.
Prime Factorization of 98
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 98 are 2,7. Prime factorization of 98 in exponential form is:
98 = 21×72
Prime Factorization of 103
| 103 | 103 |
| 1 |
Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:
103 = 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 98 and 103.
LCM(98,103) = 21×72×1031
LCM(98,103) = 10094
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1, 103
Least Common Multiple of 98 and 103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98 and 103, than apply into the LCM equation.
GCF(98,103) = 1
LCM(98,103) = ( 98 × 103) / 1
LCM(98,103) = 10094 / 1
LCM(98,103) = 10094
Properties of LCM 98 and 103
(i) The LCM of 103 and 98 is associative
LCM of 98 and 103 = LCM of 103 and 98
Related Least Common Multiples of 98
Related Least Common Multiples of 103
Frequently Asked Questions on LCM of 98 and 103
1. What is the LCM of 98 and 103?
Answer: LCM of 98 and 103 is 10094.
2. What are the Factors of 98?
Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.
3. What are the Factors of 103?
Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.
4. How to Find the LCM of 98 and 103?
Answer:
Least Common Multiple of 98 and 103 = 10094
Step 1: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 2: Find the prime factorization of 103
103 = 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10094 = 2 x 7 x 7 x 103
Step 4: Therefore, the least common multiple of 98 and 103 is 10094.
