Least Common Multiple (LCM) of 69 and 184
The least common multiple (LCM) of 69 and 184 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 69 and 184?
First, calculate the GCD of 69 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 184 = 0 remainder 69 |
| 2 | 184 ÷ 69 = 2 remainder 46 |
| 3 | 69 ÷ 46 = 1 remainder 23 |
| 4 | 46 ÷ 23 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 69 | 966 |
| 148 and 122 | 9028 |
| 185 and 45 | 1665 |
| 10 and 60 | 60 |
| 166 and 66 | 5478 |