Least Common Multiple (LCM) of 181 and 196
The least common multiple (LCM) of 181 and 196 is 35476.
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 181 and 196?
First, calculate the GCD of 181 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 196 = 0 remainder 181 |
| 2 | 196 ÷ 181 = 1 remainder 15 |
| 3 | 181 ÷ 15 = 12 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 28 | 672 |
| 57 and 14 | 798 |
| 143 and 55 | 715 |
| 65 and 175 | 2275 |
| 140 and 76 | 2660 |