Least Common Multiple (LCM) of 99 and 184
The least common multiple (LCM) of 99 and 184 is 18216.
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 99 and 184?
First, calculate the GCD of 99 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 184 = 0 remainder 99 |
| 2 | 184 ÷ 99 = 1 remainder 85 |
| 3 | 99 ÷ 85 = 1 remainder 14 |
| 4 | 85 ÷ 14 = 6 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 184 | 31096 |
| 129 and 80 | 10320 |
| 179 and 32 | 5728 |
| 164 and 114 | 9348 |
| 119 and 149 | 17731 |