Least Common Multiple (LCM) of 133 and 179
The least common multiple (LCM) of 133 and 179 is 23807.
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 133 and 179?
First, calculate the GCD of 133 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 179 = 0 remainder 133 |
| 2 | 179 ÷ 133 = 1 remainder 46 |
| 3 | 133 ÷ 46 = 2 remainder 41 |
| 4 | 46 ÷ 41 = 1 remainder 5 |
| 5 | 41 ÷ 5 = 8 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 191 | 3438 |
| 36 and 185 | 6660 |
| 191 and 11 | 2101 |
| 115 and 110 | 2530 |
| 89 and 154 | 13706 |