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 |
|---|---|
| 116 and 193 | 22388 |
| 106 and 132 | 6996 |
| 93 and 22 | 2046 |
| 51 and 161 | 8211 |
| 178 and 184 | 16376 |