Least Common Multiple (LCM) of 121 and 187
The least common multiple (LCM) of 121 and 187 is 2057.
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 187?
First, calculate the GCD of 121 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 187 = 0 remainder 121 |
| 2 | 187 ÷ 121 = 1 remainder 66 |
| 3 | 121 ÷ 66 = 1 remainder 55 |
| 4 | 66 ÷ 55 = 1 remainder 11 |
| 5 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 64 | 5184 |
| 125 and 78 | 9750 |
| 153 and 169 | 25857 |
| 196 and 32 | 1568 |
| 105 and 32 | 3360 |