Least Common Multiple (LCM) of 33 and 148
The least common multiple (LCM) of 33 and 148 is 4884.
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 148?
First, calculate the GCD of 33 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 148 = 0 remainder 33 |
| 2 | 148 ÷ 33 = 4 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 146 | 21170 |
| 173 and 60 | 10380 |
| 76 and 132 | 2508 |
| 197 and 163 | 32111 |
| 64 and 171 | 10944 |