Least Common Multiple (LCM) of 32 and 161
The least common multiple (LCM) of 32 and 161 is 5152.
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 32 and 161?
First, calculate the GCD of 32 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 161 = 0 remainder 32 |
| 2 | 161 ÷ 32 = 5 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 41 | 5002 |
| 131 and 91 | 11921 |
| 106 and 73 | 7738 |
| 141 and 188 | 564 |
| 117 and 126 | 1638 |