Least Common Multiple (LCM) of 145 and 23
The least common multiple (LCM) of 145 and 23 is 3335.
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 23?
First, calculate the GCD of 145 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 23 = 6 remainder 7 |
| 2 | 23 ÷ 7 = 3 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 101 | 3737 |
| 99 and 66 | 198 |
| 186 and 31 | 186 |
| 107 and 75 | 8025 |
| 99 and 38 | 3762 |