Least Common Multiple (LCM) of 69 and 154
The least common multiple (LCM) of 69 and 154 is 10626.
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 154?
First, calculate the GCD of 69 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 154 = 0 remainder 69 |
| 2 | 154 ÷ 69 = 2 remainder 16 |
| 3 | 69 ÷ 16 = 4 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 155 | 30690 |
| 171 and 26 | 4446 |
| 29 and 50 | 1450 |
| 11 and 58 | 638 |
| 46 and 142 | 3266 |