Least Common Multiple (LCM) of 61 and 33
The least common multiple (LCM) of 61 and 33 is 2013.
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 61 and 33?
First, calculate the GCD of 61 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 33 = 1 remainder 28 |
| 2 | 33 ÷ 28 = 1 remainder 5 |
| 3 | 28 ÷ 5 = 5 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 151 | 27935 |
| 69 and 156 | 3588 |
| 149 and 187 | 27863 |
| 107 and 173 | 18511 |
| 98 and 154 | 1078 |