Least Common Multiple (LCM) of 124 and 145
The least common multiple (LCM) of 124 and 145 is 17980.
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 145?
First, calculate the GCD of 124 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 145 = 0 remainder 124 |
| 2 | 145 ÷ 124 = 1 remainder 21 |
| 3 | 124 ÷ 21 = 5 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 194 | 31622 |
| 86 and 54 | 2322 |
| 133 and 95 | 665 |
| 101 and 137 | 13837 |
| 136 and 175 | 23800 |