Least Common Multiple of 118 and 122
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 118 and 122 the smallest integer that is 7198 that is divisible by both numbers.
Least Common Multiple (LCM) of 118 and 122 is 7198.
LCM(118,122) = 7198
LCM of 118 and 122
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 118 and 122 by Prime method
- Least Common Multiple of 118 and 122 with GCF Formula
LCM of 118 and 122 is 7198
Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 122. First we will calculate the prime factors of 118 and 122.
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
Prime Factorization of 122
| 2 | 122 |
| 61 | 61 |
| 1 |
Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:
122 = 21×611
Now multiplying the highest exponent prime factors to calculate the LCM of 118 and 122.
LCM(118,122) = 21×591×611
LCM(118,122) = 7198
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Least Common Multiple of 118 and 122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 118 and 122, than apply into the LCM equation.
GCF(118,122) = 2
LCM(118,122) = ( 118 × 122) / 2
LCM(118,122) = 14396 / 2
LCM(118,122) = 7198
Properties of LCM 118 and 122
(i) The LCM of 122 and 118 is associative
LCM of 118 and 122 = LCM of 122 and 118
Related Least Common Multiples of 118
Related Least Common Multiples of 122
Frequently Asked Questions on LCM of 118 and 122
1. What is the LCM of 118 and 122?
Answer: LCM of 118 and 122 is 7198.
2. 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.
3. What are the Factors of 122?
Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.
4. How to Find the LCM of 118 and 122?
Answer:
Least Common Multiple of 118 and 122 = 7198
Step 1: Find the prime factorization of 118
118 = 2 x 59
Step 2: Find the prime factorization of 122
122 = 2 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7198 = 2 x 59 x 61
Step 4: Therefore, the least common multiple of 118 and 122 is 7198.
