Least Common Multiple (LCM) of 169 and 94
The least common multiple (LCM) of 169 and 94 is 15886.
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 169 and 94?
First, calculate the GCD of 169 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 94 = 1 remainder 75 |
| 2 | 94 ÷ 75 = 1 remainder 19 |
| 3 | 75 ÷ 19 = 3 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 183 | 18300 |
| 34 and 177 | 6018 |
| 27 and 171 | 513 |
| 85 and 34 | 170 |
| 165 and 138 | 7590 |