Least Common Multiple (LCM) of 161 and 120
The least common multiple (LCM) of 161 and 120 is 19320.
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 161 and 120?
First, calculate the GCD of 161 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 120 = 1 remainder 41 |
| 2 | 120 ÷ 41 = 2 remainder 38 |
| 3 | 41 ÷ 38 = 1 remainder 3 |
| 4 | 38 ÷ 3 = 12 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 78 | 11310 |
| 49 and 106 | 5194 |
| 183 and 18 | 1098 |
| 66 and 120 | 1320 |
| 189 and 81 | 567 |