Least Common Multiple (LCM) of 178 and 142
The least common multiple (LCM) of 178 and 142 is 12638.
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 142?
First, calculate the GCD of 178 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 142 = 1 remainder 36 |
| 2 | 142 ÷ 36 = 3 remainder 34 |
| 3 | 36 ÷ 34 = 1 remainder 2 |
| 4 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 23 | 1449 |
| 54 and 148 | 3996 |
| 96 and 10 | 480 |
| 100 and 171 | 17100 |
| 164 and 158 | 12956 |