Least Common Multiple (LCM) of 176 and 158
The least common multiple (LCM) of 176 and 158 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 176 and 158?
First, calculate the GCD of 176 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 158 = 1 remainder 18 |
| 2 | 158 ÷ 18 = 8 remainder 14 |
| 3 | 18 ÷ 14 = 1 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 66 | 2706 |
| 147 and 183 | 8967 |
| 148 and 18 | 1332 |
| 68 and 171 | 11628 |
| 152 and 129 | 19608 |