Least Common Multiple (LCM) of 35 and 184
The least common multiple (LCM) of 35 and 184 is 6440.
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 35 and 184?
First, calculate the GCD of 35 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 184 = 0 remainder 35 |
| 2 | 184 ÷ 35 = 5 remainder 9 |
| 3 | 35 ÷ 9 = 3 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 80 | 3440 |
| 24 and 128 | 384 |
| 107 and 96 | 10272 |
| 30 and 93 | 930 |
| 17 and 197 | 3349 |