Least Common Multiple of 113 and 116
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 113 and 116 the smallest integer that is 13108 that is divisible by both numbers.
Least Common Multiple (LCM) of 113 and 116 is 13108.
LCM(113,116) = 13108
LCM of 113 and 116
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 113 and 116 by Prime method
- Least Common Multiple of 113 and 116 with GCF Formula
LCM of 113 and 116 is 13108
Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 116. First we will calculate the prime factors of 113 and 116.
Prime Factorization of 113
| 113 | 113 |
| 1 |
Prime factors of 113 are 113. Prime factorization of 113 in exponential form is:
113 = 1131
Prime Factorization of 116
| 2 | 116 |
| 2 | 58 |
| 29 | 29 |
| 1 |
Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:
116 = 22×291
Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 116.
LCM(113,116) = 22×291×1131
LCM(113,116) = 13108
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1, 113
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Least Common Multiple of 113 and 116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 113 and 116, than apply into the LCM equation.
GCF(113,116) = 1
LCM(113,116) = ( 113 × 116) / 1
LCM(113,116) = 13108 / 1
LCM(113,116) = 13108
Properties of LCM 113 and 116
(i) The LCM of 116 and 113 is associative
LCM of 113 and 116 = LCM of 116 and 113
Related Least Common Multiples of 113
Related Least Common Multiples of 116
Frequently Asked Questions on LCM of 113 and 116
1. What is the LCM of 113 and 116?
Answer: LCM of 113 and 116 is 13108.
2. What are the Factors of 113?
Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.
3. What are the Factors of 116?
Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.
4. How to Find the LCM of 113 and 116?
Answer:
Least Common Multiple of 113 and 116 = 13108
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 116
116 = 2 x 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13108 = 2 x 2 x 29 x 113
Step 4: Therefore, the least common multiple of 113 and 116 is 13108.
