Least Common Multiple (LCM) of 46 and 134
The least common multiple (LCM) of 46 and 134 is 3082.
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 46 and 134?
First, calculate the GCD of 46 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 134 = 0 remainder 46 |
| 2 | 134 ÷ 46 = 2 remainder 42 |
| 3 | 46 ÷ 42 = 1 remainder 4 |
| 4 | 42 ÷ 4 = 10 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 108 | 8316 |
| 57 and 102 | 1938 |
| 171 and 49 | 8379 |
| 91 and 16 | 1456 |
| 75 and 122 | 9150 |