Least Common Multiple (LCM) of 125 and 126
The least common multiple (LCM) of 125 and 126 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 125 and 126?
First, calculate the GCD of 125 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 126 = 0 remainder 125 |
| 2 | 126 ÷ 125 = 1 remainder 1 |
| 3 | 125 ÷ 1 = 125 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 72 | 3096 |
| 71 and 136 | 9656 |
| 182 and 38 | 3458 |
| 164 and 34 | 2788 |
| 123 and 188 | 23124 |