Least Common Multiple (LCM) of 145 and 124
The least common multiple (LCM) of 145 and 124 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 145 and 124?
First, calculate the GCD of 145 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 124 = 1 remainder 21 |
| 2 | 124 ÷ 21 = 5 remainder 19 |
| 3 | 21 ÷ 19 = 1 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 123 | 21279 |
| 127 and 151 | 19177 |
| 41 and 141 | 5781 |
| 130 and 171 | 22230 |
| 171 and 63 | 1197 |