Least Common Multiple (LCM) of 159 and 179
The least common multiple (LCM) of 159 and 179 is 28461.
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 159 and 179?
First, calculate the GCD of 159 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 179 = 0 remainder 159 |
| 2 | 179 ÷ 159 = 1 remainder 20 |
| 3 | 159 ÷ 20 = 7 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 194 | 28906 |
| 18 and 72 | 72 |
| 152 and 17 | 2584 |
| 134 and 69 | 9246 |
| 20 and 150 | 300 |