Least Common Multiple (LCM) of 121 and 160
The least common multiple (LCM) of 121 and 160 is 19360.
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 121 and 160?
First, calculate the GCD of 121 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 160 = 0 remainder 121 |
| 2 | 160 ÷ 121 = 1 remainder 39 |
| 3 | 121 ÷ 39 = 3 remainder 4 |
| 4 | 39 ÷ 4 = 9 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 23 | 3726 |
| 194 and 14 | 1358 |
| 84 and 113 | 9492 |
| 46 and 112 | 2576 |
| 47 and 190 | 8930 |