Least Common Multiple (LCM) of 121 and 181
The least common multiple (LCM) of 121 and 181 is 21901.
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 181?
First, calculate the GCD of 121 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 181 = 0 remainder 121 |
| 2 | 181 ÷ 121 = 1 remainder 60 |
| 3 | 121 ÷ 60 = 2 remainder 1 |
| 4 | 60 ÷ 1 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 33 | 1947 |
| 136 and 145 | 19720 |
| 199 and 175 | 34825 |
| 13 and 184 | 2392 |
| 165 and 70 | 2310 |