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 |
|---|---|
| 153 and 158 | 24174 |
| 25 and 144 | 3600 |
| 166 and 131 | 21746 |
| 110 and 44 | 220 |
| 168 and 22 | 1848 |