Least Common Multiple (LCM) of 73 and 66
The least common multiple (LCM) of 73 and 66 is 4818.
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 66?
First, calculate the GCD of 73 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 66 = 1 remainder 7 |
| 2 | 66 ÷ 7 = 9 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 102 | 2142 |
| 146 and 121 | 17666 |
| 161 and 28 | 644 |
| 186 and 116 | 10788 |
| 145 and 27 | 3915 |