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 |
|---|---|
| 124 and 68 | 2108 |
| 191 and 61 | 11651 |
| 40 and 58 | 1160 |
| 96 and 121 | 11616 |
| 32 and 191 | 6112 |