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 |
|---|---|
| 75 and 49 | 3675 |
| 84 and 150 | 2100 |
| 147 and 13 | 1911 |
| 109 and 115 | 12535 |
| 129 and 156 | 6708 |