Least Common Multiple (LCM) of 134 and 133
The least common multiple (LCM) of 134 and 133 is 17822.
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 133?
First, calculate the GCD of 134 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 133 = 1 remainder 1 |
| 2 | 133 ÷ 1 = 133 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 101 | 11514 |
| 99 and 120 | 3960 |
| 200 and 98 | 9800 |
| 109 and 169 | 18421 |
| 156 and 14 | 1092 |