Least Common Multiple (LCM) of 159 and 87
The least common multiple (LCM) of 159 and 87 is 4611.
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 87?
First, calculate the GCD of 159 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 87 = 1 remainder 72 |
| 2 | 87 ÷ 72 = 1 remainder 15 |
| 3 | 72 ÷ 15 = 4 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 126 | 2016 |
| 135 and 53 | 7155 |
| 144 and 88 | 1584 |
| 170 and 113 | 19210 |
| 161 and 45 | 7245 |