Least Common Multiple (LCM) of 178 and 161
The least common multiple (LCM) of 178 and 161 is 28658.
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 178 and 161?
First, calculate the GCD of 178 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 161 = 1 remainder 17 |
| 2 | 161 ÷ 17 = 9 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 54 | 1998 |
| 121 and 150 | 18150 |
| 142 and 91 | 12922 |
| 44 and 21 | 924 |
| 120 and 125 | 3000 |