Least Common Multiple (LCM) of 142 and 177
The least common multiple (LCM) of 142 and 177 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 142 and 177?
First, calculate the GCD of 142 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 177 = 0 remainder 142 |
| 2 | 177 ÷ 142 = 1 remainder 35 |
| 3 | 142 ÷ 35 = 4 remainder 2 |
| 4 | 35 ÷ 2 = 17 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 72 | 6408 |
| 92 and 42 | 1932 |
| 200 and 24 | 600 |
| 158 and 118 | 9322 |
| 117 and 177 | 6903 |