Least Common Multiple (LCM) of 121 and 165
The least common multiple (LCM) of 121 and 165 is 1815.
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 165?
First, calculate the GCD of 121 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 165 = 0 remainder 121 |
| 2 | 165 ÷ 121 = 1 remainder 44 |
| 3 | 121 ÷ 44 = 2 remainder 33 |
| 4 | 44 ÷ 33 = 1 remainder 11 |
| 5 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 65 | 1300 |
| 82 and 13 | 1066 |
| 188 and 158 | 14852 |
| 155 and 81 | 12555 |
| 70 and 186 | 6510 |