Least Common Multiple of 118 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 118 and 119 the smallest integer that is 14042 that is divisible by both numbers.
Least Common Multiple (LCM) of 118 and 119 is 14042.
LCM(118,119) = 14042
LCM of 118 and 119
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 118 and 119 by Prime method
- Least Common Multiple of 118 and 119 with GCF Formula
LCM of 118 and 119 is 14042
Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 119. First we will calculate the prime factors of 118 and 119.
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 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 118 and 119.
LCM(118,119) = 21×71×171×591
LCM(118,119) = 14042
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Least Common Multiple of 118 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 118 and 119, than apply into the LCM equation.
GCF(118,119) = 1
LCM(118,119) = ( 118 × 119) / 1
LCM(118,119) = 14042 / 1
LCM(118,119) = 14042
Properties of LCM 118 and 119
(i) The LCM of 119 and 118 is associative
LCM of 118 and 119 = LCM of 119 and 118
Related Least Common Multiples of 118
Related Least Common Multiples of 119
Frequently Asked Questions on LCM of 118 and 119
1. What is the LCM of 118 and 119?
Answer: LCM of 118 and 119 is 14042.
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 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 118 and 119?
Answer:
Least Common Multiple of 118 and 119 = 14042
Step 1: Find the prime factorization of 118
118 = 2 x 59
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 = 14042 = 2 x 7 x 17 x 59
Step 4: Therefore, the least common multiple of 118 and 119 is 14042.
