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 |
|---|---|
| 117 and 152 | 17784 |
| 152 and 107 | 16264 |
| 148 and 184 | 6808 |
| 70 and 106 | 3710 |
| 189 and 180 | 3780 |