Least Common Multiple (LCM) of 177 and 162
The least common multiple (LCM) of 177 and 162 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 177 and 162?
First, calculate the GCD of 177 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 162 = 1 remainder 15 |
| 2 | 162 ÷ 15 = 10 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 139 | 15846 |
| 33 and 63 | 693 |
| 107 and 91 | 9737 |
| 15 and 133 | 1995 |
| 17 and 52 | 884 |