Least Common Multiple (LCM) of 134 and 176
The least common multiple (LCM) of 134 and 176 is 11792.
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 134 and 176?
First, calculate the GCD of 134 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 176 = 0 remainder 134 |
| 2 | 176 ÷ 134 = 1 remainder 42 |
| 3 | 134 ÷ 42 = 3 remainder 8 |
| 4 | 42 ÷ 8 = 5 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 105 | 15960 |
| 105 and 139 | 14595 |
| 83 and 182 | 15106 |
| 157 and 86 | 13502 |
| 159 and 37 | 5883 |