Least Common Multiple (LCM) of 134 and 199
The least common multiple (LCM) of 134 and 199 is 26666.
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 199?
First, calculate the GCD of 134 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 199 = 0 remainder 134 |
| 2 | 199 ÷ 134 = 1 remainder 65 |
| 3 | 134 ÷ 65 = 2 remainder 4 |
| 4 | 65 ÷ 4 = 16 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 66 | 1188 |
| 160 and 136 | 2720 |
| 181 and 10 | 1810 |
| 146 and 135 | 19710 |
| 66 and 23 | 1518 |