Least Common Multiple (LCM) of 172 and 92
The least common multiple (LCM) of 172 and 92 is 3956.
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 92?
First, calculate the GCD of 172 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 92 = 1 remainder 80 |
| 2 | 92 ÷ 80 = 1 remainder 12 |
| 3 | 80 ÷ 12 = 6 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 171 | 20862 |
| 120 and 72 | 360 |
| 115 and 185 | 4255 |
| 90 and 30 | 90 |
| 193 and 89 | 17177 |