Least Common Multiple (LCM) of 183 and 156
The least common multiple (LCM) of 183 and 156 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 183 and 156?
First, calculate the GCD of 183 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 156 = 1 remainder 27 |
| 2 | 156 ÷ 27 = 5 remainder 21 |
| 3 | 27 ÷ 21 = 1 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 83 | 16102 |
| 159 and 195 | 10335 |
| 173 and 128 | 22144 |
| 17 and 124 | 2108 |
| 64 and 80 | 320 |