Least Common Multiple (LCM) of 121 and 32
The least common multiple (LCM) of 121 and 32 is 3872.
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 32?
First, calculate the GCD of 121 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 32 = 3 remainder 25 |
| 2 | 32 ÷ 25 = 1 remainder 7 |
| 3 | 25 ÷ 7 = 3 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 165 | 10560 |
| 37 and 197 | 7289 |
| 23 and 49 | 1127 |
| 191 and 198 | 37818 |
| 34 and 81 | 2754 |