Least Common Multiple (LCM) of 184 and 69
The least common multiple (LCM) of 184 and 69 is 552.
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 184 and 69?
First, calculate the GCD of 184 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 69 = 2 remainder 46 |
| 2 | 69 ÷ 46 = 1 remainder 23 |
| 3 | 46 ÷ 23 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 174 | 3654 |
| 185 and 139 | 25715 |
| 40 and 88 | 440 |
| 188 and 96 | 4512 |
| 189 and 20 | 3780 |