Least Common Multiple (LCM) of 184 and 124
The least common multiple (LCM) of 184 and 124 is 5704.
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 124?
First, calculate the GCD of 184 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 124 = 1 remainder 60 |
| 2 | 124 ÷ 60 = 2 remainder 4 |
| 3 | 60 ÷ 4 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 106 | 14522 |
| 150 and 20 | 300 |
| 49 and 154 | 1078 |
| 139 and 100 | 13900 |
| 33 and 22 | 66 |