Least Common Multiple (LCM) of 167 and 177
The least common multiple (LCM) of 167 and 177 is 29559.
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 177?
First, calculate the GCD of 167 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 177 = 0 remainder 167 |
| 2 | 177 ÷ 167 = 1 remainder 10 |
| 3 | 167 ÷ 10 = 16 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 171 | 18639 |
| 50 and 55 | 550 |
| 28 and 155 | 4340 |
| 90 and 46 | 2070 |
| 42 and 30 | 210 |