Least Common Multiple (LCM) of 134 and 125
The least common multiple (LCM) of 134 and 125 is 16750.
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 134 and 125?
First, calculate the GCD of 134 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 125 = 1 remainder 9 |
| 2 | 125 ÷ 9 = 13 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 164 | 17220 |
| 165 and 181 | 29865 |
| 110 and 135 | 2970 |
| 186 and 58 | 5394 |
| 103 and 106 | 10918 |