Least Common Multiple (LCM) of 136 and 125
The least common multiple (LCM) of 136 and 125 is 17000.
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 125?
First, calculate the GCD of 136 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 125 = 1 remainder 11 |
| 2 | 125 ÷ 11 = 11 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 74 | 1998 |
| 177 and 35 | 6195 |
| 12 and 173 | 2076 |
| 109 and 191 | 20819 |
| 176 and 96 | 1056 |