Least Common Multiple (LCM) of 167 and 25
The least common multiple (LCM) of 167 and 25 is 4175.
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 167 and 25?
First, calculate the GCD of 167 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 25 = 6 remainder 17 |
| 2 | 25 ÷ 17 = 1 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 140 | 2940 |
| 110 and 127 | 13970 |
| 182 and 180 | 16380 |
| 165 and 172 | 28380 |
| 122 and 19 | 2318 |