Least Common Multiple (LCM) of 168 and 196
The least common multiple (LCM) of 168 and 196 is 1176.
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 168 and 196?
First, calculate the GCD of 168 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 196 = 0 remainder 168 |
| 2 | 196 ÷ 168 = 1 remainder 28 |
| 3 | 168 ÷ 28 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 153 | 2142 |
| 183 and 65 | 11895 |
| 40 and 178 | 3560 |
| 105 and 12 | 420 |
| 190 and 110 | 2090 |