Least Common Multiple (LCM) of 158 and 176
The least common multiple (LCM) of 158 and 176 is 13904.
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 176?
First, calculate the GCD of 158 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 176 = 0 remainder 158 |
| 2 | 176 ÷ 158 = 1 remainder 18 |
| 3 | 158 ÷ 18 = 8 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 114 | 6612 |
| 158 and 39 | 6162 |
| 178 and 138 | 12282 |
| 126 and 41 | 5166 |
| 58 and 193 | 11194 |