Least Common Multiple (LCM) of 147 and 66
The least common multiple (LCM) of 147 and 66 is 3234.
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 147 and 66?
First, calculate the GCD of 147 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 66 = 2 remainder 15 |
| 2 | 66 ÷ 15 = 4 remainder 6 |
| 3 | 15 ÷ 6 = 2 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 11 | 1133 |
| 145 and 136 | 19720 |
| 154 and 101 | 15554 |
| 51 and 178 | 9078 |
| 140 and 130 | 1820 |