Least Common Multiple (LCM) of 134 and 177
The least common multiple (LCM) of 134 and 177 is 23718.
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 177?
First, calculate the GCD of 134 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 177 = 0 remainder 134 |
| 2 | 177 ÷ 134 = 1 remainder 43 |
| 3 | 134 ÷ 43 = 3 remainder 5 |
| 4 | 43 ÷ 5 = 8 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 72 | 1800 |
| 64 and 148 | 2368 |
| 109 and 192 | 20928 |
| 20 and 42 | 420 |
| 155 and 46 | 7130 |