Least Common Multiple (LCM) of 134 and 182
The least common multiple (LCM) of 134 and 182 is 12194.
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 182?
First, calculate the GCD of 134 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 182 = 0 remainder 134 |
| 2 | 182 ÷ 134 = 1 remainder 48 |
| 3 | 134 ÷ 48 = 2 remainder 38 |
| 4 | 48 ÷ 38 = 1 remainder 10 |
| 5 | 38 ÷ 10 = 3 remainder 8 |
| 6 | 10 ÷ 8 = 1 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 109 | 10900 |
| 88 and 46 | 2024 |
| 61 and 188 | 11468 |
| 109 and 60 | 6540 |
| 30 and 119 | 3570 |