Least Common Multiple (LCM) of 136 and 25
The least common multiple (LCM) of 136 and 25 is 3400.
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 25?
First, calculate the GCD of 136 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 25 = 5 remainder 11 |
| 2 | 25 ÷ 11 = 2 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 154 | 25718 |
| 124 and 122 | 7564 |
| 122 and 112 | 6832 |
| 160 and 45 | 1440 |
| 142 and 147 | 20874 |