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 |
|---|---|
| 35 and 52 | 1820 |
| 128 and 117 | 14976 |
| 175 and 183 | 32025 |
| 52 and 91 | 364 |
| 159 and 107 | 17013 |