Least Common Multiple (LCM) of 167 and 175
The least common multiple (LCM) of 167 and 175 is 29225.
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 175?
First, calculate the GCD of 167 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 175 = 0 remainder 167 |
| 2 | 175 ÷ 167 = 1 remainder 8 |
| 3 | 167 ÷ 8 = 20 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 115 | 15640 |
| 143 and 168 | 24024 |
| 34 and 191 | 6494 |
| 20 and 196 | 980 |
| 166 and 18 | 1494 |