Least Common Multiple (LCM) of 33 and 55
The least common multiple (LCM) of 33 and 55 is 165.
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 55?
First, calculate the GCD of 33 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 55 = 0 remainder 33 |
| 2 | 55 ÷ 33 = 1 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 146 | 14454 |
| 51 and 100 | 5100 |
| 117 and 22 | 2574 |
| 45 and 131 | 5895 |
| 159 and 26 | 4134 |