Least Common Multiple (LCM) of 183 and 78
The least common multiple (LCM) of 183 and 78 is 4758.
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 78?
First, calculate the GCD of 183 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 78 = 2 remainder 27 |
| 2 | 78 ÷ 27 = 2 remainder 24 |
| 3 | 27 ÷ 24 = 1 remainder 3 |
| 4 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 197 | 27186 |
| 187 and 93 | 17391 |
| 120 and 10 | 120 |
| 103 and 15 | 1545 |
| 128 and 84 | 2688 |