Least Common Multiple (LCM) of 12 and 161
The least common multiple (LCM) of 12 and 161 is 1932.
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 12 and 161?
First, calculate the GCD of 12 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 161 = 0 remainder 12 |
| 2 | 161 ÷ 12 = 13 remainder 5 |
| 3 | 12 ÷ 5 = 2 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 109 | 20492 |
| 145 and 190 | 5510 |
| 156 and 152 | 5928 |
| 140 and 63 | 1260 |
| 125 and 105 | 2625 |