Least Common Multiple (LCM) of 121 and 184
The least common multiple (LCM) of 121 and 184 is 22264.
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 184?
First, calculate the GCD of 121 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 184 = 0 remainder 121 |
| 2 | 184 ÷ 121 = 1 remainder 63 |
| 3 | 121 ÷ 63 = 1 remainder 58 |
| 4 | 63 ÷ 58 = 1 remainder 5 |
| 5 | 58 ÷ 5 = 11 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 169 | 16731 |
| 75 and 175 | 525 |
| 17 and 60 | 1020 |
| 166 and 199 | 33034 |
| 82 and 111 | 9102 |