Least Common Multiple (LCM) of 73 and 122
The least common multiple (LCM) of 73 and 122 is 8906.
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 122?
First, calculate the GCD of 73 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 122 = 0 remainder 73 |
| 2 | 122 ÷ 73 = 1 remainder 49 |
| 3 | 73 ÷ 49 = 1 remainder 24 |
| 4 | 49 ÷ 24 = 2 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 168 | 336 |
| 113 and 125 | 14125 |
| 51 and 68 | 204 |
| 23 and 93 | 2139 |
| 105 and 22 | 2310 |