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 |
|---|---|
| 138 and 102 | 2346 |
| 163 and 11 | 1793 |
| 132 and 55 | 660 |
| 126 and 74 | 4662 |
| 96 and 11 | 1056 |