Least Common Multiple (LCM) of 73 and 127
The least common multiple (LCM) of 73 and 127 is 9271.
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 127?
First, calculate the GCD of 73 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 127 = 0 remainder 73 |
| 2 | 127 ÷ 73 = 1 remainder 54 |
| 3 | 73 ÷ 54 = 1 remainder 19 |
| 4 | 54 ÷ 19 = 2 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 116 | 812 |
| 12 and 71 | 852 |
| 197 and 118 | 23246 |
| 162 and 66 | 1782 |
| 142 and 31 | 4402 |