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 |
|---|---|
| 153 and 171 | 2907 |
| 178 and 72 | 6408 |
| 41 and 184 | 7544 |
| 91 and 53 | 4823 |
| 169 and 92 | 15548 |