Least Common Multiple (LCM) of 154 and 122
The least common multiple (LCM) of 154 and 122 is 9394.
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 154 and 122?
First, calculate the GCD of 154 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 122 = 1 remainder 32 |
| 2 | 122 ÷ 32 = 3 remainder 26 |
| 3 | 32 ÷ 26 = 1 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 199 | 9950 |
| 48 and 86 | 2064 |
| 142 and 60 | 4260 |
| 156 and 77 | 12012 |
| 44 and 129 | 5676 |