Least Common Multiple (LCM) of 156 and 183
The least common multiple (LCM) of 156 and 183 is 9516.
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 156 and 183?
First, calculate the GCD of 156 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 183 = 0 remainder 156 |
| 2 | 183 ÷ 156 = 1 remainder 27 |
| 3 | 156 ÷ 27 = 5 remainder 21 |
| 4 | 27 ÷ 21 = 1 remainder 6 |
| 5 | 21 ÷ 6 = 3 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 16 | 1648 |
| 151 and 28 | 4228 |
| 29 and 33 | 957 |
| 54 and 112 | 3024 |
| 21 and 63 | 63 |