Least Common Multiple (LCM) of 159 and 99
The least common multiple (LCM) of 159 and 99 is 5247.
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 99?
First, calculate the GCD of 159 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 99 = 1 remainder 60 |
| 2 | 99 ÷ 60 = 1 remainder 39 |
| 3 | 60 ÷ 39 = 1 remainder 21 |
| 4 | 39 ÷ 21 = 1 remainder 18 |
| 5 | 21 ÷ 18 = 1 remainder 3 |
| 6 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 58 | 8642 |
| 53 and 183 | 9699 |
| 180 and 166 | 14940 |
| 171 and 190 | 1710 |
| 110 and 119 | 13090 |