Least Common Multiple (LCM) of 122 and 73
The least common multiple (LCM) of 122 and 73 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 122 and 73?
First, calculate the GCD of 122 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 73 = 1 remainder 49 |
| 2 | 73 ÷ 49 = 1 remainder 24 |
| 3 | 49 ÷ 24 = 2 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 45 | 6705 |
| 124 and 80 | 2480 |
| 177 and 93 | 5487 |
| 79 and 113 | 8927 |
| 20 and 35 | 140 |