Least Common Multiple (LCM) of 121 and 158
The least common multiple (LCM) of 121 and 158 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 121 and 158?
First, calculate the GCD of 121 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 158 = 0 remainder 121 |
| 2 | 158 ÷ 121 = 1 remainder 37 |
| 3 | 121 ÷ 37 = 3 remainder 10 |
| 4 | 37 ÷ 10 = 3 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 131 | 13231 |
| 127 and 169 | 21463 |
| 185 and 24 | 4440 |
| 25 and 13 | 325 |
| 129 and 12 | 516 |