Least Common Multiple (LCM) of 134 and 89
The least common multiple (LCM) of 134 and 89 is 11926.
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 89?
First, calculate the GCD of 134 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 89 = 1 remainder 45 |
| 2 | 89 ÷ 45 = 1 remainder 44 |
| 3 | 45 ÷ 44 = 1 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 11 | 1188 |
| 116 and 192 | 5568 |
| 138 and 154 | 10626 |
| 110 and 137 | 15070 |
| 136 and 97 | 13192 |