Least Common Multiple (LCM) of 33 and 107
The least common multiple (LCM) of 33 and 107 is 3531.
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 33 and 107?
First, calculate the GCD of 33 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 107 = 0 remainder 33 |
| 2 | 107 ÷ 33 = 3 remainder 8 |
| 3 | 33 ÷ 8 = 4 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 179 | 4654 |
| 72 and 165 | 3960 |
| 145 and 140 | 4060 |
| 110 and 172 | 9460 |
| 169 and 107 | 18083 |