Least Common Multiple (LCM) of 83 and 76
The least common multiple (LCM) of 83 and 76 is 6308.
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 83 and 76?
First, calculate the GCD of 83 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 76 = 1 remainder 7 |
| 2 | 76 ÷ 7 = 10 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 193 | 25669 |
| 68 and 67 | 4556 |
| 110 and 147 | 16170 |
| 95 and 24 | 2280 |
| 144 and 163 | 23472 |