Least Common Multiple (LCM) of 196 and 172
The least common multiple (LCM) of 196 and 172 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 196 and 172?
First, calculate the GCD of 196 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 172 = 1 remainder 24 |
| 2 | 172 ÷ 24 = 7 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 198 | 4554 |
| 30 and 140 | 420 |
| 150 and 158 | 11850 |
| 68 and 34 | 68 |
| 44 and 125 | 5500 |