Least Common Multiple (LCM) of 159 and 90
The least common multiple (LCM) of 159 and 90 is 4770.
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 90?
First, calculate the GCD of 159 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 90 = 1 remainder 69 |
| 2 | 90 ÷ 69 = 1 remainder 21 |
| 3 | 69 ÷ 21 = 3 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 86 | 6192 |
| 163 and 168 | 27384 |
| 49 and 41 | 2009 |
| 87 and 31 | 2697 |
| 117 and 61 | 7137 |