Least Common Multiple (LCM) of 121 and 31
The least common multiple (LCM) of 121 and 31 is 3751.
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 31?
First, calculate the GCD of 121 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 31 = 3 remainder 28 |
| 2 | 31 ÷ 28 = 1 remainder 3 |
| 3 | 28 ÷ 3 = 9 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 164 | 3936 |
| 199 and 162 | 32238 |
| 165 and 42 | 2310 |
| 195 and 132 | 8580 |
| 123 and 175 | 21525 |