Least Common Multiple (LCM) of 134 and 179
The least common multiple (LCM) of 134 and 179 is 23986.
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 179?
First, calculate the GCD of 134 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 179 = 0 remainder 134 |
| 2 | 179 ÷ 134 = 1 remainder 45 |
| 3 | 134 ÷ 45 = 2 remainder 44 |
| 4 | 45 ÷ 44 = 1 remainder 1 |
| 5 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 40 | 4360 |
| 35 and 163 | 5705 |
| 100 and 56 | 1400 |
| 144 and 144 | 144 |
| 83 and 147 | 12201 |