Least Common Multiple (LCM) of 137 and 184
The least common multiple (LCM) of 137 and 184 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 137 and 184?
First, calculate the GCD of 137 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 184 = 0 remainder 137 |
| 2 | 184 ÷ 137 = 1 remainder 47 |
| 3 | 137 ÷ 47 = 2 remainder 43 |
| 4 | 47 ÷ 43 = 1 remainder 4 |
| 5 | 43 ÷ 4 = 10 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 14 | 756 |
| 131 and 100 | 13100 |
| 64 and 127 | 8128 |
| 41 and 51 | 2091 |
| 107 and 185 | 19795 |