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 |
|---|---|
| 134 and 65 | 8710 |
| 180 and 26 | 2340 |
| 29 and 31 | 899 |
| 67 and 71 | 4757 |
| 184 and 125 | 23000 |