Least Common Multiple (LCM) of 66 and 159
The least common multiple (LCM) of 66 and 159 is 3498.
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 159?
First, calculate the GCD of 66 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 159 = 0 remainder 66 |
| 2 | 159 ÷ 66 = 2 remainder 27 |
| 3 | 66 ÷ 27 = 2 remainder 12 |
| 4 | 27 ÷ 12 = 2 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 28 | 2996 |
| 109 and 92 | 10028 |
| 20 and 70 | 140 |
| 120 and 55 | 1320 |
| 20 and 37 | 740 |