Least Common Multiple (LCM) of 177 and 142
The least common multiple (LCM) of 177 and 142 is 25134.
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 142?
First, calculate the GCD of 177 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 142 = 1 remainder 35 |
| 2 | 142 ÷ 35 = 4 remainder 2 |
| 3 | 35 ÷ 2 = 17 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 143 | 1144 |
| 92 and 40 | 920 |
| 18 and 73 | 1314 |
| 130 and 155 | 4030 |
| 159 and 193 | 30687 |