Least Common Multiple (LCM) of 120 and 161
The least common multiple (LCM) of 120 and 161 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 120 and 161?
First, calculate the GCD of 120 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 161 = 0 remainder 120 |
| 2 | 161 ÷ 120 = 1 remainder 41 |
| 3 | 120 ÷ 41 = 2 remainder 38 |
| 4 | 41 ÷ 38 = 1 remainder 3 |
| 5 | 38 ÷ 3 = 12 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 65 | 6045 |
| 28 and 55 | 1540 |
| 41 and 144 | 5904 |
| 57 and 156 | 2964 |
| 108 and 170 | 9180 |