Least Common Multiple (LCM) of 126 and 125
The least common multiple (LCM) of 126 and 125 is 15750.
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 126 and 125?
First, calculate the GCD of 126 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 125 = 1 remainder 1 |
| 2 | 125 ÷ 1 = 125 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 112 | 1344 |
| 48 and 17 | 816 |
| 191 and 157 | 29987 |
| 126 and 72 | 504 |
| 156 and 174 | 4524 |