Least Common Multiple (LCM) of 137 and 183
The least common multiple (LCM) of 137 and 183 is 25071.
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 183?
First, calculate the GCD of 137 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 183 = 0 remainder 137 |
| 2 | 183 ÷ 137 = 1 remainder 46 |
| 3 | 137 ÷ 46 = 2 remainder 45 |
| 4 | 46 ÷ 45 = 1 remainder 1 |
| 5 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 129 | 7869 |
| 75 and 131 | 9825 |
| 180 and 43 | 7740 |
| 75 and 43 | 3225 |
| 172 and 83 | 14276 |