Least Common Multiple (LCM) of 40 and 159
The least common multiple (LCM) of 40 and 159 is 6360.
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 40 and 159?
First, calculate the GCD of 40 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 159 = 0 remainder 40 |
| 2 | 159 ÷ 40 = 3 remainder 39 |
| 3 | 40 ÷ 39 = 1 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 78 | 5694 |
| 104 and 188 | 4888 |
| 118 and 60 | 3540 |
| 167 and 102 | 17034 |
| 165 and 23 | 3795 |