Least Common Multiple (LCM) of 118 and 161
The least common multiple (LCM) of 118 and 161 is 18998.
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 161?
First, calculate the GCD of 118 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 161 = 0 remainder 118 |
| 2 | 161 ÷ 118 = 1 remainder 43 |
| 3 | 118 ÷ 43 = 2 remainder 32 |
| 4 | 43 ÷ 32 = 1 remainder 11 |
| 5 | 32 ÷ 11 = 2 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 82 | 5986 |
| 16 and 69 | 1104 |
| 61 and 79 | 4819 |
| 179 and 108 | 19332 |
| 99 and 48 | 1584 |