Least Common Multiple (LCM) of 172 and 162
The least common multiple (LCM) of 172 and 162 is 13932.
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 172 and 162?
First, calculate the GCD of 172 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 162 = 1 remainder 10 |
| 2 | 162 ÷ 10 = 16 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 46 | 782 |
| 152 and 89 | 13528 |
| 158 and 42 | 3318 |
| 112 and 194 | 10864 |
| 53 and 65 | 3445 |