Least Common Multiple (LCM) of 159 and 35
The least common multiple (LCM) of 159 and 35 is 5565.
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 35?
First, calculate the GCD of 159 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 35 = 4 remainder 19 |
| 2 | 35 ÷ 19 = 1 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 196 | 13524 |
| 188 and 134 | 12596 |
| 29 and 112 | 3248 |
| 186 and 20 | 1860 |
| 174 and 87 | 174 |