Least Common Multiple (LCM) of 83 and 56
The least common multiple (LCM) of 83 and 56 is 4648.
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 56?
First, calculate the GCD of 83 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 56 = 1 remainder 27 |
| 2 | 56 ÷ 27 = 2 remainder 2 |
| 3 | 27 ÷ 2 = 13 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 128 | 896 |
| 124 and 26 | 1612 |
| 154 and 199 | 30646 |
| 99 and 14 | 1386 |
| 163 and 144 | 23472 |