Least Common Multiple (LCM) of 134 and 159
The least common multiple (LCM) of 134 and 159 is 21306.
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 159?
First, calculate the GCD of 134 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 159 = 0 remainder 134 |
| 2 | 159 ÷ 134 = 1 remainder 25 |
| 3 | 134 ÷ 25 = 5 remainder 9 |
| 4 | 25 ÷ 9 = 2 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 111 | 2553 |
| 191 and 19 | 3629 |
| 70 and 196 | 980 |
| 118 and 35 | 4130 |
| 96 and 49 | 4704 |