Least Common Multiple (LCM) of 183 and 40
The least common multiple (LCM) of 183 and 40 is 7320.
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 40?
First, calculate the GCD of 183 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 40 = 4 remainder 23 |
| 2 | 40 ÷ 23 = 1 remainder 17 |
| 3 | 23 ÷ 17 = 1 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 81 | 10044 |
| 178 and 179 | 31862 |
| 130 and 170 | 2210 |
| 169 and 45 | 7605 |
| 187 and 176 | 2992 |