Least Common Multiple (LCM) of 175 and 196
The least common multiple (LCM) of 175 and 196 is 4900.
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 175 and 196?
First, calculate the GCD of 175 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 196 = 0 remainder 175 |
| 2 | 196 ÷ 175 = 1 remainder 21 |
| 3 | 175 ÷ 21 = 8 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 188 | 2256 |
| 111 and 161 | 17871 |
| 85 and 70 | 1190 |
| 90 and 107 | 9630 |
| 115 and 172 | 19780 |