
Least Common Multiple (LCM) of 33 and 188
The least common multiple (LCM) of 33 and 188 is 6204.
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 188?
First, calculate the GCD of 33 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 33 ÷ 188 = 0 remainder 33 |
2 | 188 ÷ 33 = 5 remainder 23 |
3 | 33 ÷ 23 = 1 remainder 10 |
4 | 23 ÷ 10 = 2 remainder 3 |
5 | 10 ÷ 3 = 3 remainder 1 |
6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
87 and 193 | 16791 |
28 and 168 | 168 |
67 and 125 | 8375 |
155 and 35 | 1085 |
48 and 170 | 4080 |