Least Common Multiple (LCM) of 183 and 84
The least common multiple (LCM) of 183 and 84 is 5124.
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 84?
First, calculate the GCD of 183 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 84 = 2 remainder 15 |
| 2 | 84 ÷ 15 = 5 remainder 9 |
| 3 | 15 ÷ 9 = 1 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 117 | 4095 |
| 65 and 143 | 715 |
| 40 and 171 | 6840 |
| 105 and 126 | 630 |
| 145 and 191 | 27695 |