Least Common Multiple (LCM) of 162 and 177
The least common multiple (LCM) of 162 and 177 is 9558.
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 162 and 177?
First, calculate the GCD of 162 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 177 = 0 remainder 162 |
| 2 | 177 ÷ 162 = 1 remainder 15 |
| 3 | 162 ÷ 15 = 10 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 31 | 4123 |
| 36 and 75 | 900 |
| 160 and 109 | 17440 |
| 166 and 136 | 11288 |
| 125 and 112 | 14000 |