Least Common Multiple of 118 and 123
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 123 the smallest integer that is 14514 that is divisible by both numbers.
Least Common Multiple (LCM) of 118 and 123 is 14514.
LCM(118,123) = 14514
LCM of 118 and 123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 118 and 123 by Prime method
- Least Common Multiple of 118 and 123 with GCF Formula
LCM of 118 and 123 is 14514
Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 123. First we will calculate the prime factors of 118 and 123.
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 123
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 123 are 3,41. Prime factorization of 123 in exponential form is:
123 = 31×411
Now multiplying the highest exponent prime factors to calculate the LCM of 118 and 123.
LCM(118,123) = 21×31×411×591
LCM(118,123) = 14514
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Least Common Multiple of 118 and 123 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 123, than apply into the LCM equation.
GCF(118,123) = 1
LCM(118,123) = ( 118 × 123) / 1
LCM(118,123) = 14514 / 1
LCM(118,123) = 14514
Properties of LCM 118 and 123
(i) The LCM of 123 and 118 is associative
LCM of 118 and 123 = LCM of 123 and 118
Related Least Common Multiples of 118
Related Least Common Multiples of 123
Frequently Asked Questions on LCM of 118 and 123
1. What is the LCM of 118 and 123?
Answer: LCM of 118 and 123 is 14514.
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 123?
Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.
4. How to Find the LCM of 118 and 123?
Answer:
Least Common Multiple of 118 and 123 = 14514
Step 1: Find the prime factorization of 118
118 = 2 x 59
Step 2: Find the prime factorization of 123
123 = 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14514 = 2 x 3 x 41 x 59
Step 4: Therefore, the least common multiple of 118 and 123 is 14514.
