Least Common Multiple (LCM) of 124 and 85
The least common multiple (LCM) of 124 and 85 is 10540.
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 124 and 85?
First, calculate the GCD of 124 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 85 = 1 remainder 39 |
| 2 | 85 ÷ 39 = 2 remainder 7 |
| 3 | 39 ÷ 7 = 5 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 132 | 7788 |
| 131 and 151 | 19781 |
| 71 and 192 | 13632 |
| 192 and 96 | 192 |
| 141 and 71 | 10011 |