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 |
|---|---|
| 25 and 135 | 675 |
| 105 and 146 | 15330 |
| 82 and 44 | 1804 |
| 176 and 120 | 2640 |
| 163 and 60 | 9780 |