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 |
|---|---|
| 150 and 119 | 17850 |
| 193 and 17 | 3281 |
| 111 and 186 | 6882 |
| 113 and 194 | 21922 |
| 14 and 199 | 2786 |