Least Common Multiple (LCM) of 152 and 33
The least common multiple (LCM) of 152 and 33 is 5016.
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 152 and 33?
First, calculate the GCD of 152 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 33 = 4 remainder 20 |
| 2 | 33 ÷ 20 = 1 remainder 13 |
| 3 | 20 ÷ 13 = 1 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 16 | 3152 |
| 24 and 181 | 4344 |
| 196 and 67 | 13132 |
| 178 and 123 | 21894 |
| 145 and 66 | 9570 |