Least Common Multiple (LCM) of 119 and 161
The least common multiple (LCM) of 119 and 161 is 2737.
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 119 and 161?
First, calculate the GCD of 119 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 161 = 0 remainder 119 |
| 2 | 161 ÷ 119 = 1 remainder 42 |
| 3 | 119 ÷ 42 = 2 remainder 35 |
| 4 | 42 ÷ 35 = 1 remainder 7 |
| 5 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 91 | 2548 |
| 118 and 41 | 4838 |
| 188 and 85 | 15980 |
| 177 and 183 | 10797 |
| 147 and 193 | 28371 |