Least Common Multiple of 113 and 118
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 118 the smallest integer that is 13334 that is divisible by both numbers.
Least Common Multiple (LCM) of 113 and 118 is 13334.
LCM(113,118) = 13334
LCM of 113 and 118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 113 and 118 by Prime method
- Least Common Multiple of 113 and 118 with GCF Formula
LCM of 113 and 118 is 13334
Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 118. First we will calculate the prime factors of 113 and 118.
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 118
| 2 | 118 |
| 59 | 59 |
| 1 |
Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:
118 = 21×591
Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 118.
LCM(113,118) = 21×591×1131
LCM(113,118) = 13334
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1, 113
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Least Common Multiple of 113 and 118 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 118, than apply into the LCM equation.
GCF(113,118) = 1
LCM(113,118) = ( 113 × 118) / 1
LCM(113,118) = 13334 / 1
LCM(113,118) = 13334
Properties of LCM 113 and 118
(i) The LCM of 118 and 113 is associative
LCM of 113 and 118 = LCM of 118 and 113
Related Least Common Multiples of 113
Related Least Common Multiples of 118
Frequently Asked Questions on LCM of 113 and 118
1. What is the LCM of 113 and 118?
Answer: LCM of 113 and 118 is 13334.
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 118?
Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.
4. How to Find the LCM of 113 and 118?
Answer:
Least Common Multiple of 113 and 118 = 13334
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 118
118 = 2 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13334 = 2 x 59 x 113
Step 4: Therefore, the least common multiple of 113 and 118 is 13334.