Least Common Multiple of 113 and 121
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 121 the smallest integer that is 13673 that is divisible by both numbers.
Least Common Multiple (LCM) of 113 and 121 is 13673.
LCM(113,121) = 13673
LCM of 113 and 121
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 113 and 121 by Prime method
- Least Common Multiple of 113 and 121 with GCF Formula
LCM of 113 and 121 is 13673
Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 121. First we will calculate the prime factors of 113 and 121.
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 121
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:
121 = 112
Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 121.
LCM(113,121) = 112×1131
LCM(113,121) = 13673
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1, 113
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1, 11, 121
Least Common Multiple of 113 and 121 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 121, than apply into the LCM equation.
GCF(113,121) = 1
LCM(113,121) = ( 113 × 121) / 1
LCM(113,121) = 13673 / 1
LCM(113,121) = 13673
Properties of LCM 113 and 121
(i) The LCM of 121 and 113 is associative
LCM of 113 and 121 = LCM of 121 and 113
Related Least Common Multiples of 113
Related Least Common Multiples of 121
Frequently Asked Questions on LCM of 113 and 121
1. What is the LCM of 113 and 121?
Answer: LCM of 113 and 121 is 13673.
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 121?
Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.
4. How to Find the LCM of 113 and 121?
Answer:
Least Common Multiple of 113 and 121 = 13673
Step 1: Find the prime factorization of 113
113 = 113
Step 2: Find the prime factorization of 121
121 = 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13673 = 11 x 11 x 113
Step 4: Therefore, the least common multiple of 113 and 121 is 13673.
