Least Common Multiple (LCM) of 69 and 121
The least common multiple (LCM) of 69 and 121 is 8349.
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 69 and 121?
First, calculate the GCD of 69 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 121 = 0 remainder 69 |
| 2 | 121 ÷ 69 = 1 remainder 52 |
| 3 | 69 ÷ 52 = 1 remainder 17 |
| 4 | 52 ÷ 17 = 3 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 166 | 20418 |
| 153 and 45 | 765 |
| 44 and 28 | 308 |
| 81 and 164 | 13284 |
| 197 and 55 | 10835 |