Least Common Multiple (LCM) of 172 and 22
The least common multiple (LCM) of 172 and 22 is 1892.
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 22?
First, calculate the GCD of 172 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 22 = 7 remainder 18 |
| 2 | 22 ÷ 18 = 1 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 145 | 24360 |
| 21 and 118 | 2478 |
| 85 and 146 | 12410 |
| 99 and 107 | 10593 |
| 35 and 89 | 3115 |