Least Common Multiple (LCM) of 167 and 176
The least common multiple (LCM) of 167 and 176 is 29392.
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 176?
First, calculate the GCD of 167 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 176 = 0 remainder 167 |
| 2 | 176 ÷ 167 = 1 remainder 9 |
| 3 | 167 ÷ 9 = 18 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 51 | 1785 |
| 104 and 104 | 104 |
| 170 and 56 | 4760 |
| 123 and 40 | 4920 |
| 44 and 36 | 396 |