Least Common Multiple (LCM) of 161 and 92
The least common multiple (LCM) of 161 and 92 is 644.
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 92?
First, calculate the GCD of 161 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 92 = 1 remainder 69 |
| 2 | 92 ÷ 69 = 1 remainder 23 |
| 3 | 69 ÷ 23 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 39 | 507 |
| 14 and 72 | 504 |
| 42 and 97 | 4074 |
| 20 and 41 | 820 |
| 37 and 77 | 2849 |