Least Common Multiple of 113 and 119
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 119 the smallest integer that is 13447 that is divisible by both numbers.
Least Common Multiple (LCM) of 113 and 119 is 13447.
LCM(113,119) = 13447
LCM of 113 and 119
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 113 and 119 by Prime method
- Least Common Multiple of 113 and 119 with GCF Formula
LCM of 113 and 119 is 13447
Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 119. First we will calculate the prime factors of 113 and 119.
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 119
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:
119 = 71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 119.
LCM(113,119) = 71×171×1131
LCM(113,119) = 13447
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1, 113
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Least Common Multiple of 113 and 119 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 119, than apply into the LCM equation.
GCF(113,119) = 1
LCM(113,119) = ( 113 × 119) / 1
LCM(113,119) = 13447 / 1
LCM(113,119) = 13447
Properties of LCM 113 and 119
(i) The LCM of 119 and 113 is associative
LCM of 113 and 119 = LCM of 119 and 113
Related Least Common Multiples of 113
Related Least Common Multiples of 119
Frequently Asked Questions on LCM of 113 and 119
1. What is the LCM of 113 and 119?
Answer: LCM of 113 and 119 is 13447.
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 119?
Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.
4. How to Find the LCM of 113 and 119?
Answer:
Least Common Multiple of 113 and 119 = 13447
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 119
119 = 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13447 = 7 x 17 x 113
Step 4: Therefore, the least common multiple of 113 and 119 is 13447.