Least Common Multiple (LCM) of 33 and 76
The least common multiple (LCM) of 33 and 76 is 2508.
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 76?
First, calculate the GCD of 33 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 76 = 0 remainder 33 |
| 2 | 76 ÷ 33 = 2 remainder 10 |
| 3 | 33 ÷ 10 = 3 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 46 | 3726 |
| 139 and 16 | 2224 |
| 108 and 146 | 7884 |
| 98 and 74 | 3626 |
| 185 and 83 | 15355 |