Least Common Multiple (LCM) of 159 and 118
The least common multiple (LCM) of 159 and 118 is 18762.
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 159 and 118?
First, calculate the GCD of 159 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 118 = 1 remainder 41 |
| 2 | 118 ÷ 41 = 2 remainder 36 |
| 3 | 41 ÷ 36 = 1 remainder 5 |
| 4 | 36 ÷ 5 = 7 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 143 | 25740 |
| 137 and 131 | 17947 |
| 144 and 18 | 144 |
| 134 and 111 | 14874 |
| 159 and 63 | 3339 |