Least Common Multiple (LCM) of 184 and 136
The least common multiple (LCM) of 184 and 136 is 3128.
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 136?
First, calculate the GCD of 184 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 136 = 1 remainder 48 |
| 2 | 136 ÷ 48 = 2 remainder 40 |
| 3 | 48 ÷ 40 = 1 remainder 8 |
| 4 | 40 ÷ 8 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 149 | 22350 |
| 54 and 157 | 8478 |
| 55 and 23 | 1265 |
| 196 and 45 | 8820 |
| 47 and 115 | 5405 |