Least Common Multiple (LCM) of 172 and 82
The least common multiple (LCM) of 172 and 82 is 7052.
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 82?
First, calculate the GCD of 172 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 82 = 2 remainder 8 |
| 2 | 82 ÷ 8 = 10 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 154 | 462 |
| 141 and 51 | 2397 |
| 133 and 41 | 5453 |
| 59 and 167 | 9853 |
| 14 and 154 | 154 |