
Least Common Multiple (LCM) of 192 and 33
The least common multiple (LCM) of 192 and 33 is 2112.
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 192 and 33?
First, calculate the GCD of 192 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 192 ÷ 33 = 5 remainder 27 |
2 | 33 ÷ 27 = 1 remainder 6 |
3 | 27 ÷ 6 = 4 remainder 3 |
4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
141 and 173 | 24393 |
151 and 152 | 22952 |
123 and 193 | 23739 |
98 and 98 | 98 |
144 and 41 | 5904 |