Least Common Multiple (LCM) of 22 and 161
The least common multiple (LCM) of 22 and 161 is 3542.
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 22 and 161?
First, calculate the GCD of 22 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 161 = 0 remainder 22 |
| 2 | 161 ÷ 22 = 7 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 106 | 6678 |
| 10 and 141 | 1410 |
| 103 and 105 | 10815 |
| 91 and 128 | 11648 |
| 12 and 160 | 480 |