Least Common Multiple (LCM) of 183 and 74
The least common multiple (LCM) of 183 and 74 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 183 and 74?
First, calculate the GCD of 183 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 74 = 2 remainder 35 |
| 2 | 74 ÷ 35 = 2 remainder 4 |
| 3 | 35 ÷ 4 = 8 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 200 | 17400 |
| 108 and 116 | 3132 |
| 72 and 120 | 360 |
| 90 and 145 | 2610 |
| 112 and 37 | 4144 |