Least Common Multiple (LCM) of 52 and 184
The least common multiple (LCM) of 52 and 184 is 2392.
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 52 and 184?
First, calculate the GCD of 52 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 184 = 0 remainder 52 |
| 2 | 184 ÷ 52 = 3 remainder 28 |
| 3 | 52 ÷ 28 = 1 remainder 24 |
| 4 | 28 ÷ 24 = 1 remainder 4 |
| 5 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 127 | 13589 |
| 142 and 42 | 2982 |
| 62 and 175 | 10850 |
| 178 and 146 | 12994 |
| 161 and 36 | 5796 |