Least Common Multiple (LCM) of 84 and 161
The least common multiple (LCM) of 84 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 84 and 161?
First, calculate the GCD of 84 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 161 = 0 remainder 84 |
| 2 | 161 ÷ 84 = 1 remainder 77 |
| 3 | 84 ÷ 77 = 1 remainder 7 |
| 4 | 77 ÷ 7 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 12 | 120 |
| 166 and 129 | 21414 |
| 96 and 91 | 8736 |
| 147 and 190 | 27930 |
| 189 and 17 | 3213 |