Least Common Multiple (LCM) of 189 and 134
The least common multiple (LCM) of 189 and 134 is 25326.
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 189 and 134?
First, calculate the GCD of 189 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 134 = 1 remainder 55 |
| 2 | 134 ÷ 55 = 2 remainder 24 |
| 3 | 55 ÷ 24 = 2 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 178 | 31150 |
| 183 and 84 | 5124 |
| 26 and 32 | 416 |
| 127 and 114 | 14478 |
| 167 and 110 | 18370 |