Least Common Multiple (LCM) of 172 and 196
The least common multiple (LCM) of 172 and 196 is 8428.
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 196?
First, calculate the GCD of 172 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 196 = 0 remainder 172 |
| 2 | 196 ÷ 172 = 1 remainder 24 |
| 3 | 172 ÷ 24 = 7 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 161 | 15134 |
| 70 and 110 | 770 |
| 109 and 161 | 17549 |
| 193 and 23 | 4439 |
| 171 and 122 | 20862 |