Least Common Multiple (LCM) of 121 and 141
The least common multiple (LCM) of 121 and 141 is 17061.
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 141?
First, calculate the GCD of 121 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 141 = 0 remainder 121 |
| 2 | 141 ÷ 121 = 1 remainder 20 |
| 3 | 121 ÷ 20 = 6 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 54 | 1350 |
| 158 and 91 | 14378 |
| 182 and 144 | 13104 |
| 126 and 196 | 1764 |
| 120 and 67 | 8040 |