Least Common Multiple (LCM) of 121 and 61
The least common multiple (LCM) of 121 and 61 is 7381.
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 61?
First, calculate the GCD of 121 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 61 = 1 remainder 60 |
| 2 | 61 ÷ 60 = 1 remainder 1 |
| 3 | 60 ÷ 1 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 110 | 1980 |
| 25 and 188 | 4700 |
| 130 and 53 | 6890 |
| 24 and 155 | 3720 |
| 97 and 140 | 13580 |