Least Common Multiple (LCM) of 125 and 68
The least common multiple (LCM) of 125 and 68 is 8500.
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 68?
First, calculate the GCD of 125 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 68 = 1 remainder 57 |
| 2 | 68 ÷ 57 = 1 remainder 11 |
| 3 | 57 ÷ 11 = 5 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 162 | 16200 |
| 83 and 152 | 12616 |
| 194 and 22 | 2134 |
| 128 and 25 | 3200 |
| 146 and 134 | 9782 |