Least Common Multiple (LCM) of 162 and 179
The least common multiple (LCM) of 162 and 179 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 162 and 179?
First, calculate the GCD of 162 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 179 = 0 remainder 162 |
| 2 | 179 ÷ 162 = 1 remainder 17 |
| 3 | 162 ÷ 17 = 9 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 20 | 1180 |
| 17 and 15 | 255 |
| 29 and 34 | 986 |
| 170 and 78 | 6630 |
| 78 and 74 | 2886 |