Least Common Multiple (LCM) of 173 and 196
The least common multiple (LCM) of 173 and 196 is 33908.
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 173 and 196?
First, calculate the GCD of 173 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 196 = 0 remainder 173 |
| 2 | 196 ÷ 173 = 1 remainder 23 |
| 3 | 173 ÷ 23 = 7 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 171 | 8892 |
| 76 and 10 | 380 |
| 43 and 63 | 2709 |
| 111 and 89 | 9879 |
| 90 and 117 | 1170 |