Least Common Multiple (LCM) of 158 and 178
The least common multiple (LCM) of 158 and 178 is 14062.
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 158 and 178?
First, calculate the GCD of 158 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 178 = 0 remainder 158 |
| 2 | 178 ÷ 158 = 1 remainder 20 |
| 3 | 158 ÷ 20 = 7 remainder 18 |
| 4 | 20 ÷ 18 = 1 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 30 | 990 |
| 196 and 191 | 37436 |
| 126 and 134 | 8442 |
| 153 and 134 | 20502 |
| 174 and 172 | 14964 |