Least Common Multiple (LCM) of 136 and 158
The least common multiple (LCM) of 136 and 158 is 10744.
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 136 and 158?
First, calculate the GCD of 136 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 158 = 0 remainder 136 |
| 2 | 158 ÷ 136 = 1 remainder 22 |
| 3 | 136 ÷ 22 = 6 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 105 | 315 |
| 69 and 200 | 13800 |
| 42 and 128 | 2688 |
| 189 and 200 | 37800 |
| 54 and 49 | 2646 |