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 |
|---|---|
| 10 and 64 | 320 |
| 42 and 134 | 2814 |
| 195 and 102 | 6630 |
| 67 and 124 | 8308 |
| 169 and 32 | 5408 |