Least Common Multiple (LCM) of 121 and 186
The least common multiple (LCM) of 121 and 186 is 22506.
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 186?
First, calculate the GCD of 121 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 186 = 0 remainder 121 |
| 2 | 186 ÷ 121 = 1 remainder 65 |
| 3 | 121 ÷ 65 = 1 remainder 56 |
| 4 | 65 ÷ 56 = 1 remainder 9 |
| 5 | 56 ÷ 9 = 6 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 175 | 12600 |
| 85 and 111 | 9435 |
| 197 and 123 | 24231 |
| 78 and 181 | 14118 |
| 69 and 188 | 12972 |