Least Common Multiple (LCM) of 74 and 183
The least common multiple (LCM) of 74 and 183 is 13542.
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 74 and 183?
First, calculate the GCD of 74 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 183 = 0 remainder 74 |
| 2 | 183 ÷ 74 = 2 remainder 35 |
| 3 | 74 ÷ 35 = 2 remainder 4 |
| 4 | 35 ÷ 4 = 8 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 159 | 30210 |
| 176 and 62 | 5456 |
| 71 and 63 | 4473 |
| 125 and 133 | 16625 |
| 75 and 187 | 14025 |