Least Common Multiple (LCM) of 83 and 62
The least common multiple (LCM) of 83 and 62 is 5146.
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 62?
First, calculate the GCD of 83 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 62 = 1 remainder 21 |
| 2 | 62 ÷ 21 = 2 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 50 | 1150 |
| 199 and 12 | 2388 |
| 190 and 76 | 380 |
| 45 and 78 | 1170 |
| 154 and 104 | 8008 |