Least Common Multiple (LCM) of 66 and 153
The least common multiple (LCM) of 66 and 153 is 3366.
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 153?
First, calculate the GCD of 66 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 153 = 0 remainder 66 |
| 2 | 153 ÷ 66 = 2 remainder 21 |
| 3 | 66 ÷ 21 = 3 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 141 | 23547 |
| 51 and 101 | 5151 |
| 45 and 44 | 1980 |
| 144 and 148 | 5328 |
| 198 and 128 | 12672 |