Least Common Multiple (LCM) of 168 and 33
The least common multiple (LCM) of 168 and 33 is 1848.
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 168 and 33?
First, calculate the GCD of 168 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 33 = 5 remainder 3 |
| 2 | 33 ÷ 3 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 168 | 9240 |
| 105 and 174 | 6090 |
| 131 and 70 | 9170 |
| 79 and 180 | 14220 |
| 23 and 136 | 3128 |