Least Common Multiple (LCM) of 73 and 54
The least common multiple (LCM) of 73 and 54 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 73 and 54?
First, calculate the GCD of 73 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 54 = 1 remainder 19 |
| 2 | 54 ÷ 19 = 2 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 147 | 735 |
| 119 and 96 | 11424 |
| 80 and 124 | 2480 |
| 177 and 91 | 16107 |
| 171 and 23 | 3933 |