Least Common Multiple (LCM) of 134 and 181
The least common multiple (LCM) of 134 and 181 is 24254.
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 181?
First, calculate the GCD of 134 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 181 = 0 remainder 134 |
| 2 | 181 ÷ 134 = 1 remainder 47 |
| 3 | 134 ÷ 47 = 2 remainder 40 |
| 4 | 47 ÷ 40 = 1 remainder 7 |
| 5 | 40 ÷ 7 = 5 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 123 | 4797 |
| 182 and 142 | 12922 |
| 87 and 108 | 3132 |
| 49 and 74 | 3626 |
| 185 and 43 | 7955 |