Least Common Multiple (LCM) of 118 and 135
The least common multiple (LCM) of 118 and 135 is 15930.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 118 and 135?
First, calculate the GCD of 118 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 135 = 0 remainder 118 |
| 2 | 135 ÷ 118 = 1 remainder 17 |
| 3 | 118 ÷ 17 = 6 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 44 | 1012 |
| 34 and 78 | 1326 |
| 197 and 152 | 29944 |
| 85 and 33 | 2805 |
| 124 and 82 | 5084 |