Least Common Multiple (LCM) of 66 and 152
The least common multiple (LCM) of 66 and 152 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 66 and 152?
First, calculate the GCD of 66 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 152 = 0 remainder 66 |
| 2 | 152 ÷ 66 = 2 remainder 20 |
| 3 | 66 ÷ 20 = 3 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 78 | 3354 |
| 188 and 175 | 32900 |
| 33 and 133 | 4389 |
| 67 and 62 | 4154 |
| 49 and 188 | 9212 |