Least Common Multiple (LCM) of 179 and 162
The least common multiple (LCM) of 179 and 162 is 28998.
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 162?
First, calculate the GCD of 179 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 162 = 1 remainder 17 |
| 2 | 162 ÷ 17 = 9 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 181 | 27512 |
| 50 and 36 | 900 |
| 22 and 192 | 2112 |
| 191 and 52 | 9932 |
| 170 and 25 | 850 |