Least Common Multiple (LCM) of 54 and 124
The least common multiple (LCM) of 54 and 124 is 3348.
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 54 and 124?
First, calculate the GCD of 54 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 124 = 0 remainder 54 |
| 2 | 124 ÷ 54 = 2 remainder 16 |
| 3 | 54 ÷ 16 = 3 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 18 | 2718 |
| 192 and 42 | 1344 |
| 162 and 184 | 14904 |
| 121 and 45 | 5445 |
| 19 and 158 | 3002 |