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 |
|---|---|
| 31 and 77 | 2387 |
| 106 and 134 | 7102 |
| 167 and 138 | 23046 |
| 178 and 161 | 28658 |
| 186 and 77 | 14322 |