Least Common Multiple (LCM) of 124 and 86
The least common multiple (LCM) of 124 and 86 is 5332.
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 86?
First, calculate the GCD of 124 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 86 = 1 remainder 38 |
| 2 | 86 ÷ 38 = 2 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 108 | 1836 |
| 177 and 69 | 4071 |
| 200 and 188 | 9400 |
| 195 and 143 | 2145 |
| 88 and 147 | 12936 |