Least Common Multiple (LCM) of 181 and 134
The least common multiple (LCM) of 181 and 134 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 181 and 134?
First, calculate the GCD of 181 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 134 = 1 remainder 47 |
| 2 | 134 ÷ 47 = 2 remainder 40 |
| 3 | 47 ÷ 40 = 1 remainder 7 |
| 4 | 40 ÷ 7 = 5 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 57 | 1425 |
| 154 and 155 | 23870 |
| 179 and 96 | 17184 |
| 40 and 83 | 3320 |
| 48 and 88 | 528 |