Least Common Multiple (LCM) of 158 and 121
The least common multiple (LCM) of 158 and 121 is 19118.
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 158 and 121?
First, calculate the GCD of 158 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 121 = 1 remainder 37 |
| 2 | 121 ÷ 37 = 3 remainder 10 |
| 3 | 37 ÷ 10 = 3 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 195 | 26520 |
| 131 and 71 | 9301 |
| 104 and 158 | 8216 |
| 128 and 199 | 25472 |
| 138 and 126 | 2898 |