Least Common Multiple (LCM) of 145 and 33
The least common multiple (LCM) of 145 and 33 is 4785.
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 33?
First, calculate the GCD of 145 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 33 = 4 remainder 13 |
| 2 | 33 ÷ 13 = 2 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 51 | 5457 |
| 26 and 60 | 780 |
| 41 and 132 | 5412 |
| 33 and 14 | 462 |
| 170 and 136 | 680 |