Least Common Multiple (LCM) of 42 and 183
The least common multiple (LCM) of 42 and 183 is 2562.
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 42 and 183?
First, calculate the GCD of 42 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 183 = 0 remainder 42 |
| 2 | 183 ÷ 42 = 4 remainder 15 |
| 3 | 42 ÷ 15 = 2 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 63 | 3465 |
| 188 and 81 | 15228 |
| 167 and 150 | 25050 |
| 112 and 28 | 112 |
| 113 and 125 | 14125 |