Least Common Multiple (LCM) of 134 and 79
The least common multiple (LCM) of 134 and 79 is 10586.
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 79?
First, calculate the GCD of 134 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 79 = 1 remainder 55 |
| 2 | 79 ÷ 55 = 1 remainder 24 |
| 3 | 55 ÷ 24 = 2 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 87 | 16269 |
| 133 and 51 | 6783 |
| 40 and 192 | 960 |
| 129 and 28 | 3612 |
| 112 and 104 | 1456 |