Least Common Multiple (LCM) of 134 and 50
The least common multiple (LCM) of 134 and 50 is 3350.
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 50?
First, calculate the GCD of 134 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 50 = 2 remainder 34 |
| 2 | 50 ÷ 34 = 1 remainder 16 |
| 3 | 34 ÷ 16 = 2 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 172 | 4816 |
| 150 and 118 | 8850 |
| 39 and 55 | 2145 |
| 196 and 63 | 1764 |
| 150 and 107 | 16050 |