Least Common Multiple (LCM) of 46 and 33
The least common multiple (LCM) of 46 and 33 is 1518.
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 46 and 33?
First, calculate the GCD of 46 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 33 = 1 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 |
|---|---|
| 180 and 151 | 27180 |
| 168 and 70 | 840 |
| 158 and 24 | 1896 |
| 74 and 135 | 9990 |
| 54 and 156 | 1404 |