Least Common Multiple (LCM) of 194 and 162
The least common multiple (LCM) of 194 and 162 is 15714.
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 194 and 162?
First, calculate the GCD of 194 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 162 = 1 remainder 32 |
| 2 | 162 ÷ 32 = 5 remainder 2 |
| 3 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 43 | 3827 |
| 81 and 110 | 8910 |
| 114 and 54 | 1026 |
| 69 and 78 | 1794 |
| 138 and 87 | 4002 |