Least Common Multiple (LCM) of 161 and 172
The least common multiple (LCM) of 161 and 172 is 27692.
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 172?
First, calculate the GCD of 161 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 172 = 0 remainder 161 |
| 2 | 172 ÷ 161 = 1 remainder 11 |
| 3 | 161 ÷ 11 = 14 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 106 | 6784 |
| 175 and 67 | 11725 |
| 148 and 199 | 29452 |
| 109 and 123 | 13407 |
| 199 and 92 | 18308 |