Least Common Multiple (LCM) of 179 and 134
The least common multiple (LCM) of 179 and 134 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 179 and 134?
First, calculate the GCD of 179 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 134 = 1 remainder 45 |
| 2 | 134 ÷ 45 = 2 remainder 44 |
| 3 | 45 ÷ 44 = 1 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 29 | 3828 |
| 144 and 64 | 576 |
| 109 and 187 | 20383 |
| 23 and 81 | 1863 |
| 26 and 81 | 2106 |