Least Common Multiple (LCM) of 134 and 178
The least common multiple (LCM) of 134 and 178 is 11926.
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 178?
First, calculate the GCD of 134 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 178 = 0 remainder 134 |
| 2 | 178 ÷ 134 = 1 remainder 44 |
| 3 | 134 ÷ 44 = 3 remainder 2 |
| 4 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 23 | 4347 |
| 105 and 138 | 4830 |
| 111 and 119 | 13209 |
| 35 and 18 | 630 |
| 78 and 161 | 12558 |