Least Common Multiple (LCM) of 73 and 83
The least common multiple (LCM) of 73 and 83 is 6059.
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 83?
First, calculate the GCD of 73 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 83 = 0 remainder 73 |
| 2 | 83 ÷ 73 = 1 remainder 10 |
| 3 | 73 ÷ 10 = 7 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 17 | 2346 |
| 122 and 137 | 16714 |
| 81 and 154 | 12474 |
| 156 and 152 | 5928 |
| 154 and 77 | 154 |