Least Common Multiple (LCM) of 59 and 134
The least common multiple (LCM) of 59 and 134 is 7906.
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 59 and 134?
First, calculate the GCD of 59 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 134 = 0 remainder 59 |
| 2 | 134 ÷ 59 = 2 remainder 16 |
| 3 | 59 ÷ 16 = 3 remainder 11 |
| 4 | 16 ÷ 11 = 1 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 151 | 19479 |
| 78 and 17 | 1326 |
| 199 and 86 | 17114 |
| 146 and 76 | 5548 |
| 73 and 68 | 4964 |