Least Common Multiple (LCM) of 176 and 142
The least common multiple (LCM) of 176 and 142 is 12496.
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 176 and 142?
First, calculate the GCD of 176 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 142 = 1 remainder 34 |
| 2 | 142 ÷ 34 = 4 remainder 6 |
| 3 | 34 ÷ 6 = 5 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 40 | 120 |
| 112 and 41 | 4592 |
| 114 and 34 | 1938 |
| 151 and 84 | 12684 |
| 112 and 164 | 4592 |