Least Common Multiple (LCM) of 169 and 184
The least common multiple (LCM) of 169 and 184 is 31096.
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 184?
First, calculate the GCD of 169 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 184 = 0 remainder 169 |
| 2 | 184 ÷ 169 = 1 remainder 15 |
| 3 | 169 ÷ 15 = 11 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 90 | 3870 |
| 138 and 114 | 2622 |
| 168 and 22 | 1848 |
| 115 and 145 | 3335 |
| 103 and 99 | 10197 |