Least Common Multiple (LCM) of 83 and 124
The least common multiple (LCM) of 83 and 124 is 10292.
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 124?
First, calculate the GCD of 83 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 124 = 0 remainder 83 |
| 2 | 124 ÷ 83 = 1 remainder 41 |
| 3 | 83 ÷ 41 = 2 remainder 1 |
| 4 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 72 | 648 |
| 74 and 41 | 3034 |
| 175 and 55 | 1925 |
| 95 and 133 | 665 |
| 189 and 141 | 8883 |