Least Common Multiple (LCM) of 182 and 196
The least common multiple (LCM) of 182 and 196 is 2548.
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 182 and 196?
First, calculate the GCD of 182 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 196 = 0 remainder 182 |
| 2 | 196 ÷ 182 = 1 remainder 14 |
| 3 | 182 ÷ 14 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 52 | 884 |
| 38 and 174 | 3306 |
| 189 and 149 | 28161 |
| 153 and 124 | 18972 |
| 169 and 88 | 14872 |