Least Common Multiple (LCM) of 125 and 167
The least common multiple (LCM) of 125 and 167 is 20875.
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 167?
First, calculate the GCD of 125 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 167 = 0 remainder 125 |
| 2 | 167 ÷ 125 = 1 remainder 42 |
| 3 | 125 ÷ 42 = 2 remainder 41 |
| 4 | 42 ÷ 41 = 1 remainder 1 |
| 5 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 115 | 8165 |
| 105 and 117 | 4095 |
| 197 and 70 | 13790 |
| 112 and 194 | 10864 |
| 121 and 145 | 17545 |