Least Common Multiple (LCM) of 54 and 73
The least common multiple (LCM) of 54 and 73 is 3942.
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 73?
First, calculate the GCD of 54 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 73 = 0 remainder 54 |
| 2 | 73 ÷ 54 = 1 remainder 19 |
| 3 | 54 ÷ 19 = 2 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 69 | 4209 |
| 63 and 46 | 2898 |
| 187 and 184 | 34408 |
| 141 and 156 | 7332 |
| 90 and 181 | 16290 |