Least Common Multiple (LCM) of 184 and 137
The least common multiple (LCM) of 184 and 137 is 25208.
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 184 and 137?
First, calculate the GCD of 184 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 137 = 1 remainder 47 |
| 2 | 137 ÷ 47 = 2 remainder 43 |
| 3 | 47 ÷ 43 = 1 remainder 4 |
| 4 | 43 ÷ 4 = 10 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 93 | 1488 |
| 156 and 190 | 14820 |
| 117 and 165 | 6435 |
| 20 and 68 | 340 |
| 165 and 99 | 495 |