Least Common Multiple (LCM) of 161 and 196
The least common multiple (LCM) of 161 and 196 is 4508.
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 161 and 196?
First, calculate the GCD of 161 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 196 = 0 remainder 161 |
| 2 | 196 ÷ 161 = 1 remainder 35 |
| 3 | 161 ÷ 35 = 4 remainder 21 |
| 4 | 35 ÷ 21 = 1 remainder 14 |
| 5 | 21 ÷ 14 = 1 remainder 7 |
| 6 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 68 | 544 |
| 36 and 44 | 396 |
| 140 and 91 | 1820 |
| 38 and 51 | 1938 |
| 100 and 87 | 8700 |